document.write( "Question 117123: Solve\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F3-x%2F6=2\"
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Algebra.Com's Answer #85177 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x%2F3-x%2F6=2\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "In order to add these fractions, we need to have a common denominator. Notice how the LCM of the denominators 3 and 6 are 6 (note: if you need help with finding the LCM, check out this solver). So we need to get the denominator 3 to 6\r
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\n" ); document.write( "\n" ); document.write( "\"%282%2F2%29%28x%2F3%29-x%2F6=2\" Multiply \"x%2F3\" by \"2%2F2\" to get the denominator to 6\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2F6-x%2F6=2\" Multiply the fractions\r
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\n" ); document.write( "\n" ); document.write( "Since we have a common denominator, we can combine the fractions\r
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\n" ); document.write( "\n" ); document.write( "\"%282x-x%29%2F6=2\" Combine the numerators\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F6=2\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"cross%286%29x%2Fcross%286%29=2%2A6\" Multiply both sides by 6\r
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\n" ); document.write( "\n" ); document.write( "\"x=12\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"x=12\" \r
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\n" ); document.write( "\n" ); document.write( "Check:\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F3-x%2F6=2\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"12%2F3-12%2F6=2\" Plug in the solution \"x=12\" \r
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\n" ); document.write( "\n" ); document.write( "\"4-2=2\" Divide\r
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\n" ); document.write( "\n" ); document.write( "\"2=2\" Divide. Since the two sides of the equation are equal, this verifies our answer. \r
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