document.write( "Question 94427: 1/2x-4=1/3x-2 \n" ); document.write( "
Algebra.Com's Answer #68779 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281%2F2%29x-4=%281%2F3%29x-2\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%286%29%28%281%2F2%29x-4%29=%286%29%28%281%2F3%29x-2%29\" Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "\"3x-24=2x-12\" Distribute and multiply 6 by each term on both sides\r
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\n" ); document.write( "\n" ); document.write( "\"3x=2x-12%2B24\" Add 24 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"3x-2x=-12%2B24\" Subtract 2x from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"1+x=-12%2B24\" Combine like terms \"3+x\" and \"-2+x\" on the left side to get \"1+x\"\r
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\n" ); document.write( "\n" ); document.write( "\"1+x=12\" Combine like terms 24 and -12 on the right side to get 12\r
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\n" ); document.write( "\n" ); document.write( "So our answer is\r
\n" ); document.write( "\n" ); document.write( "\"x=+12\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x-24=2x-12\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"3%2812%29-24=2%2812%29-12\" Plug in \"x=12\"\r
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\n" ); document.write( "\n" ); document.write( "\"36-24=24-12\" Multiply \r
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\n" ); document.write( "\n" ); document.write( "\"12=12\" Combine like terms. Since the two sides of the equation are equal, this verifies our answer.\r
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