{"id":4073,"date":"2020-04-05T18:41:19","date_gmt":"2020-04-05T18:41:19","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforlibscoreq\/?post_type=chapter&#038;p=4073"},"modified":"2021-02-05T23:57:12","modified_gmt":"2021-02-05T23:57:12","slug":"solving-equations-by-clearing-decimals","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/chapter\/solving-equations-by-clearing-decimals\/","title":{"raw":"Solving Equations By Clearing Decimals","rendered":"Solving Equations By Clearing Decimals"},"content":{"raw":"<div class=\"textbox learning-objectives\"><h3>Learning Outcomes<\/h3><ul><li>Determine the LCD of an equation that contains decimals<\/li><li>Solve equations with decimals that require several steps<\/li><\/ul><\/div>Some equations have decimals in them. This kind of equation will occur when we solve problems dealing with money and percent. But decimals are really another way to represent fractions. For example, [latex]0.3=\\Large\\frac{3}{10}[\/latex] and [latex]0.17=\\Large\\frac{17}{100}[\/latex]. So, when we have an equation with decimals, we can use the same process we used to clear fractions\u2014multiply both sides of the equation by the least common denominator.\n\n<div class=\"textbox exercises\"><h3>Example<\/h3>Solve: [latex]0.8x - 5=7[\/latex]\n\nSolution:\nThe only decimal in the equation is [latex]0.8[\/latex]. Since [latex]0.8=\\Large\\frac{8}{10}[\/latex], the LCD is [latex]10[\/latex]. We can multiply both sides by [latex]10[\/latex] to clear the decimal.\n\n<table id=\"eip-id1168467123212\" class=\"unnumbered unstyled\" summary=\"The first line says 0.8x minus 5 equals 7. The next line says, \"><tbody><tr style=\"height: 15px\"><td style=\"height: 15px\"><\/td><td style=\"height: 15px\">[latex]0.8x-5=7[\/latex]<\/td><\/tr><tr style=\"height: 15px\"><td style=\"height: 15px\">Multiply both sides by the LCD.<\/td><td style=\"height: 15px\">[latex]\\color{red}{10}(0.8x-5)=\\color{red}{10}(7)[\/latex]<\/td><\/tr><tr style=\"height: 24px\"><td style=\"height: 24px\">Distribute.<\/td><td style=\"height: 24px\">[latex]10(0.8x)-10(5)=10(7)[\/latex]<\/td><\/tr><tr style=\"height: 23px\"><td style=\"height: 23px\">Multiply, and notice, no more decimals!<\/td><td style=\"height: 23px\">[latex]8x-50=70[\/latex]<\/td><\/tr><tr style=\"height: 20px\"><td style=\"height: 20px\">Add 50 to get all constants to the right.<\/td><td style=\"height: 20px\">[latex]8x-50\\color{red}{+50}=70\\color{red}{+50}[\/latex]<\/td><\/tr><tr style=\"height: 20.75px\"><td style=\"height: 20.75px\">Simplify.<\/td><td style=\"height: 20.75px\">[latex]8x=120[\/latex]<\/td><\/tr><tr style=\"height: 42px\"><td style=\"height: 42px\">Divide both sides by [latex]8[\/latex].<\/td><td style=\"height: 42px\">[latex]\\Large\\frac{8x}{\\color{red}{8}}\\normalsize =\\Large\\frac{120}{\\color{red}{8}}[\/latex]<\/td><\/tr><tr style=\"height: 19px\"><td style=\"height: 19px\">Simplify.<\/td><td style=\"height: 19px\">[latex]x=15[\/latex]<\/td><\/tr><tr style=\"height: 15px\"><td style=\"height: 15px\">Check: Let [latex]x=15[\/latex].<\/td><td style=\"height: 15px\"><\/td><\/tr><tr style=\"height: 103px\"><td style=\"height: 103px\">[latex]0.8(\\color{red}{15})-5\\stackrel{\\text{?}}{=}7[\/latex][latex]12-5\\stackrel{\\text{?}}{=}7[\/latex]\n\n[latex]7=7\\quad\\checkmark[\/latex]\n\n<\/td><td style=\"height: 103px\"><\/td><\/tr><\/tbody><\/table><\/div>&nbsp;\n\n<div class=\"textbox key-takeaways\"><h3>Try it<\/h3>[ohm_question]3555[\/ohm_question]\n\n<\/div>&nbsp;\n\n<div class=\"textbox exercises\"><h3>Example<\/h3>Solve: [latex]0.06x+0.02=0.25x - 1.5[\/latex]\n\n<p class=\"p1\">[reveal-answer q=\"190834\"]Show Solution[\/reveal-answer]\n\n<p class=\"p1\">[hidden-answer a=\"190834\"]\n\nSolution:\nLook at the decimals and think of the equivalent fractions.\n[latex]0.06=\\Large\\frac{6}{100}\\normalsize ,0.02=\\Large\\frac{2}{100}\\normalsize ,0.25=\\Large\\frac{25}{100}\\normalsize ,1.5=1\\Large\\frac{5}{10}[\/latex]\nNotice, the LCD is [latex]100[\/latex].\nBy multiplying by the LCD we will clear the decimals.\n\n<table id=\"eip-id1168466076129\" class=\"unnumbered unstyled\" summary=\"The top line says 0.06x plus 0.02 equals 0.25x minus 1.5. The next step says, \"><tbody><tr style=\"height: 23px\"><td style=\"height: 23px\"><\/td><td style=\"height: 23px\">[latex]0.06x+0.02=0.25x-1.5[\/latex]<\/td><\/tr><tr style=\"height: 24px\"><td style=\"height: 24px\">Multiply both sides by 100.<\/td><td style=\"height: 24px\">[latex]\\color{red}{100}(0.06x+0.02)=\\color{red}{100}(0.25x-1.5)[\/latex]<\/td><\/tr><tr style=\"height: 32px\"><td style=\"height: 32px\">Distribute.<\/td><td style=\"height: 32px\">[latex]100(0.06x)+100(0.02)=100(0.25x)-100(1.5)[\/latex]<\/td><\/tr><tr style=\"height: 14px\"><td style=\"height: 14px\">Multiply, and now no more decimals.<\/td><td style=\"height: 14px\">[latex]6x+2=25x-150[\/latex]<\/td><\/tr><tr style=\"height: 23px\"><td style=\"height: 23px\">Collect the variables to the right.<\/td><td style=\"height: 23px\">[latex]6x\\color{red}{-6x}+2=25x\\color{red}{-6x}-150[\/latex]<\/td><\/tr><tr style=\"height: 14px\"><td style=\"height: 14px\">Simplify.<\/td><td style=\"height: 14px\">[latex]2=19x-150[\/latex]<\/td><\/tr><tr style=\"height: 25px\"><td style=\"height: 25px\">Collect the constants to the left.<\/td><td style=\"height: 25px\">[latex]2\\color{red}{+150}=19x-150\\color{red}{+150}[\/latex]<\/td><\/tr><tr style=\"height: 14px\"><td style=\"height: 14px\">Simplify.<\/td><td style=\"height: 14px\">[latex]152=19x[\/latex]<\/td><\/tr><tr style=\"height: 43px\"><td style=\"height: 43px\">Divide by [latex]19[\/latex].<\/td><td style=\"height: 43px\">[latex]\\Large\\frac{152}{\\color{red}{19}}\\normalsize =\\Large\\frac{19x}{\\color{red}{19}}[\/latex]<\/td><\/tr><tr style=\"height: 14px\"><td style=\"height: 14px\">Simplify.<\/td><td style=\"height: 14px\">[latex]8=x[\/latex]<\/td><\/tr><tr style=\"height: 14px\"><td style=\"height: 14px\">Check: Let [latex]x=8[\/latex].<\/td><td style=\"height: 14px\"><\/td><\/tr><tr style=\"height: 87.6426px\"><td style=\"height: 87.6426px\">[latex]0.06(\\color{red}{8})+0.02=0.25(\\color{red}{8})-1.5[\/latex][latex]0.48+0.02=2.00-1.5[\/latex]\n\n[latex]0.50=0.50\\quad\\checkmark[\/latex]\n\n<\/td><td style=\"height: 87.6426px\"><\/td><\/tr><\/tbody><\/table><p class=\"p1\">[\/hidden-answer]\n\n<\/div>&nbsp;\n\n<div class=\"textbox key-takeaways\"><h3>Try it<\/h3>[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=71955&amp;theme=oea&amp;iframe_resize_id=mom2[\/embed]\n\n\n\n<\/div>In the following video we present another example of how to solve an equation that contains decimals and variable terms on both sides of the equal sign.\n\nhttps:\/\/youtu.be\/pZWTJvua-P8\n\nThe next example uses an equation that is typical of the ones we will see in the money applications. Notice that we will distribute the decimal first before we clear all decimals in the equation.\n\n<div class=\"textbox exercises\"><h3>Example<\/h3>Solve: [latex]0.25x+0.05\\left(x+3\\right)=2.85[\/latex]\n\n<p class=\"p1\">[reveal-answer q=\"777666\"]Show Solution[\/reveal-answer]\n\n<p class=\"p1\">[hidden-answer a=\"777666\"]\n\nSolution:\n\n<table id=\"eip-id1168466031358\" class=\"unnumbered unstyled\" summary=\"The top line says 0.25x plus 0.05 times parentheses x plus 3 equals 2.85. The next line says, \"><tbody><tr><td><\/td><td>[latex]0.25x+0.05(x+3)=2.85[\/latex]<\/td><\/tr><tr><td>Distribute first.<\/td><td>[latex]0.25x+0.05x+0.15=2.85[\/latex]<\/td><\/tr><tr><td>Combine like terms.<\/td><td>[latex]0.30x+0.15=2.85[\/latex]<\/td><\/tr><tr><td>To clear decimals, multiply by [latex]100[\/latex].<\/td><td>[latex]\\color{red}{100}(0.30x+0.15)=\\color{red}{100}(2.85)[\/latex]<\/td><\/tr><tr><td>Distribute.<\/td><td>[latex]30x+15=285[\/latex]<\/td><\/tr><tr><td>Subtract [latex]15[\/latex] from both sides.<\/td><td>[latex]30x+15\\color{red}{-15}=285\\color{red}{-15}[\/latex]<\/td><\/tr><tr><td>Simplify.<\/td><td>[latex]30x=270[\/latex]<\/td><\/tr><tr><td>Divide by [latex]30[\/latex].<\/td><td>[latex]\\Large\\frac{30x}{\\color{red}{30}}\\normalsize =\\Large\\frac{270}{\\color{red}{30}}[\/latex]<\/td><\/tr><tr><td>Simplify.<\/td><td>[latex]x=9[\/latex]<\/td><\/tr><tr><td>Check: Let [latex]x=9[\/latex].<\/td><td><\/td><\/tr><tr><td>[latex]0.25x+0.05(x+3)=2.85[\/latex][latex]0.25(\\color{red}{9})+0.05(\\color{red}{9}+3)\\stackrel{\\text{?}}{=}2.85[\/latex]\n\n[latex]2.25+0.05(12)\\stackrel{\\text{?}}{=}2.85[\/latex]\n\n[latex]2.85=2.85\\quad\\checkmark[\/latex]\n\n&nbsp;\n\n<\/td><td><\/td><\/tr><\/tbody><\/table><p class=\"p1\">[\/hidden-answer]\n\n<\/div>&nbsp;\n\n<div class=\"textbox key-takeaways\"><h3>Try it<\/h3>[ohm_question]140292[\/ohm_question]\n\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Determine the LCD of an equation that contains decimals<\/li>\n<li>Solve equations with decimals that require several steps<\/li>\n<\/ul>\n<\/div>\n<p>Some equations have decimals in them. This kind of equation will occur when we solve problems dealing with money and percent. But decimals are really another way to represent fractions. For example, [latex]0.3=\\Large\\frac{3}{10}[\/latex] and [latex]0.17=\\Large\\frac{17}{100}[\/latex]. So, when we have an equation with decimals, we can use the same process we used to clear fractions\u2014multiply both sides of the equation by the least common denominator.<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Solve: [latex]0.8x - 5=7[\/latex]<\/p>\n<p>Solution:<br \/>\nThe only decimal in the equation is [latex]0.8[\/latex]. Since [latex]0.8=\\Large\\frac{8}{10}[\/latex], the LCD is [latex]10[\/latex]. We can multiply both sides by [latex]10[\/latex] to clear the decimal.<\/p>\n<table id=\"eip-id1168467123212\" class=\"unnumbered unstyled\" summary=\"The first line says 0.8x minus 5 equals 7. The next line says,\">\n<tbody>\n<tr style=\"height: 15px\">\n<td style=\"height: 15px\"><\/td>\n<td style=\"height: 15px\">[latex]0.8x-5=7[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"height: 15px\">Multiply both sides by the LCD.<\/td>\n<td style=\"height: 15px\">[latex]\\color{red}{10}(0.8x-5)=\\color{red}{10}(7)[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 24px\">\n<td style=\"height: 24px\">Distribute.<\/td>\n<td style=\"height: 24px\">[latex]10(0.8x)-10(5)=10(7)[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 23px\">\n<td style=\"height: 23px\">Multiply, and notice, no more decimals!<\/td>\n<td style=\"height: 23px\">[latex]8x-50=70[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 20px\">\n<td style=\"height: 20px\">Add 50 to get all constants to the right.<\/td>\n<td style=\"height: 20px\">[latex]8x-50\\color{red}{+50}=70\\color{red}{+50}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 20.75px\">\n<td style=\"height: 20.75px\">Simplify.<\/td>\n<td style=\"height: 20.75px\">[latex]8x=120[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 42px\">\n<td style=\"height: 42px\">Divide both sides by [latex]8[\/latex].<\/td>\n<td style=\"height: 42px\">[latex]\\Large\\frac{8x}{\\color{red}{8}}\\normalsize =\\Large\\frac{120}{\\color{red}{8}}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 19px\">\n<td style=\"height: 19px\">Simplify.<\/td>\n<td style=\"height: 19px\">[latex]x=15[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"height: 15px\">Check: Let [latex]x=15[\/latex].<\/td>\n<td style=\"height: 15px\"><\/td>\n<\/tr>\n<tr style=\"height: 103px\">\n<td style=\"height: 103px\">[latex]0.8(\\color{red}{15})-5\\stackrel{\\text{?}}{=}7[\/latex][latex]12-5\\stackrel{\\text{?}}{=}7[\/latex]<\/p>\n<p>[latex]7=7\\quad\\checkmark[\/latex]<\/p>\n<\/td>\n<td style=\"height: 103px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm3555\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=3555&theme=oea&iframe_resize_id=ohm3555&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Solve: [latex]0.06x+0.02=0.25x - 1.5[\/latex]<\/p>\n<p class=\"p1\">\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q190834\">Show Solution<\/span><\/p>\n<p class=\"p1\">\n<div id=\"q190834\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<br \/>\nLook at the decimals and think of the equivalent fractions.<br \/>\n[latex]0.06=\\Large\\frac{6}{100}\\normalsize ,0.02=\\Large\\frac{2}{100}\\normalsize ,0.25=\\Large\\frac{25}{100}\\normalsize ,1.5=1\\Large\\frac{5}{10}[\/latex]<br \/>\nNotice, the LCD is [latex]100[\/latex].<br \/>\nBy multiplying by the LCD we will clear the decimals.<\/p>\n<table id=\"eip-id1168466076129\" class=\"unnumbered unstyled\" summary=\"The top line says 0.06x plus 0.02 equals 0.25x minus 1.5. The next step says,\">\n<tbody>\n<tr style=\"height: 23px\">\n<td style=\"height: 23px\"><\/td>\n<td style=\"height: 23px\">[latex]0.06x+0.02=0.25x-1.5[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 24px\">\n<td style=\"height: 24px\">Multiply both sides by 100.<\/td>\n<td style=\"height: 24px\">[latex]\\color{red}{100}(0.06x+0.02)=\\color{red}{100}(0.25x-1.5)[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 32px\">\n<td style=\"height: 32px\">Distribute.<\/td>\n<td style=\"height: 32px\">[latex]100(0.06x)+100(0.02)=100(0.25x)-100(1.5)[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px\">\n<td style=\"height: 14px\">Multiply, and now no more decimals.<\/td>\n<td style=\"height: 14px\">[latex]6x+2=25x-150[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 23px\">\n<td style=\"height: 23px\">Collect the variables to the right.<\/td>\n<td style=\"height: 23px\">[latex]6x\\color{red}{-6x}+2=25x\\color{red}{-6x}-150[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px\">\n<td style=\"height: 14px\">Simplify.<\/td>\n<td style=\"height: 14px\">[latex]2=19x-150[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 25px\">\n<td style=\"height: 25px\">Collect the constants to the left.<\/td>\n<td style=\"height: 25px\">[latex]2\\color{red}{+150}=19x-150\\color{red}{+150}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px\">\n<td style=\"height: 14px\">Simplify.<\/td>\n<td style=\"height: 14px\">[latex]152=19x[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 43px\">\n<td style=\"height: 43px\">Divide by [latex]19[\/latex].<\/td>\n<td style=\"height: 43px\">[latex]\\Large\\frac{152}{\\color{red}{19}}\\normalsize =\\Large\\frac{19x}{\\color{red}{19}}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px\">\n<td style=\"height: 14px\">Simplify.<\/td>\n<td style=\"height: 14px\">[latex]8=x[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px\">\n<td style=\"height: 14px\">Check: Let [latex]x=8[\/latex].<\/td>\n<td style=\"height: 14px\"><\/td>\n<\/tr>\n<tr style=\"height: 87.6426px\">\n<td style=\"height: 87.6426px\">[latex]0.06(\\color{red}{8})+0.02=0.25(\\color{red}{8})-1.5[\/latex][latex]0.48+0.02=2.00-1.5[\/latex]<\/p>\n<p>[latex]0.50=0.50\\quad\\checkmark[\/latex]<\/p>\n<\/td>\n<td style=\"height: 87.6426px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"p1\"><\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm71955\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=71955&#38;theme=oea&#38;iframe_resize_id=ohm71955&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the following video we present another example of how to solve an equation that contains decimals and variable terms on both sides of the equal sign.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex:  Solve a Linear Equation With Decimals and Variables on Both Sides\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/pZWTJvua-P8?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>The next example uses an equation that is typical of the ones we will see in the money applications. Notice that we will distribute the decimal first before we clear all decimals in the equation.<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Solve: [latex]0.25x+0.05\\left(x+3\\right)=2.85[\/latex]<\/p>\n<p class=\"p1\">\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q777666\">Show Solution<\/span><\/p>\n<p class=\"p1\">\n<div id=\"q777666\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168466031358\" class=\"unnumbered unstyled\" summary=\"The top line says 0.25x plus 0.05 times parentheses x plus 3 equals 2.85. The next line says,\">\n<tbody>\n<tr>\n<td><\/td>\n<td>[latex]0.25x+0.05(x+3)=2.85[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Distribute first.<\/td>\n<td>[latex]0.25x+0.05x+0.15=2.85[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Combine like terms.<\/td>\n<td>[latex]0.30x+0.15=2.85[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>To clear decimals, multiply by [latex]100[\/latex].<\/td>\n<td>[latex]\\color{red}{100}(0.30x+0.15)=\\color{red}{100}(2.85)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Distribute.<\/td>\n<td>[latex]30x+15=285[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Subtract [latex]15[\/latex] from both sides.<\/td>\n<td>[latex]30x+15\\color{red}{-15}=285\\color{red}{-15}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]30x=270[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Divide by [latex]30[\/latex].<\/td>\n<td>[latex]\\Large\\frac{30x}{\\color{red}{30}}\\normalsize =\\Large\\frac{270}{\\color{red}{30}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]x=9[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check: Let [latex]x=9[\/latex].<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>[latex]0.25x+0.05(x+3)=2.85[\/latex][latex]0.25(\\color{red}{9})+0.05(\\color{red}{9}+3)\\stackrel{\\text{?}}{=}2.85[\/latex]<\/p>\n<p>[latex]2.25+0.05(12)\\stackrel{\\text{?}}{=}2.85[\/latex]<\/p>\n<p>[latex]2.85=2.85\\quad\\checkmark[\/latex]<\/p>\n<p>&nbsp;<\/p>\n<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"p1\"><\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm140292\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=140292&theme=oea&iframe_resize_id=ohm140292&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-4073\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Solve a Linear Equation with Parentheses and Decimals 0.35(x-0.6)=0.2(x+1.2). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/k0K8mat_EaI\">https:\/\/youtu.be\/k0K8mat_EaI<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Ex: Solve a Linear Equation With Decimals and Variables on Both Sides. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/pZWTJvua-P8\">https:\/\/youtu.be\/pZWTJvua-P8<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Questions ID 71955. <strong>Authored by<\/strong>: Alyson Day. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License, CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":25777,"menu_order":15,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Ex: Solve a Linear Equation With Decimals and Variables on Both Sides\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/pZWTJvua-P8\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Solve a Linear Equation with Parentheses and Decimals 0.35(x-0.6)=0.2(x+1.2)\",\"author\":\"James Sousa (Mathispower4u.com) for Lumen Learning\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/k0K8mat_EaI\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Questions ID 71955\",\"author\":\"Alyson Day\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License, CC-BY + 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