document.write( "Question 297474: Hi everyone. I need your help one this one! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check. Thanks! \n" ); document.write( "
Algebra.Com's Answer #214215 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"5%282m-3%29=2%28m-2%29%2B5\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"10m-15=2m-4%2B5\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"10m-15=2m%2B1\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"10m=2m%2B1%2B15\" Add \"15\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"10m-2m=1%2B15\" Subtract \"2m\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"8m=1%2B15\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"8m=16\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"m=%2816%29%2F%288%29\" Divide both sides by \"8\" to isolate \"m\".\r
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\n" ); document.write( "\n" ); document.write( "\"m=2\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"m=2\" \r
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\n" ); document.write( "\n" ); document.write( "\"5%282m-3%29=2%28m-2%29%2B5\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"5%282%282%29-3%29=2%282-2%29%2B5\" Plug in \"m=2\"\r
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\n" ); document.write( "\n" ); document.write( "\"5%284-3%29=2%282-2%29%2B5\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"5%281%29=2%280%29%2B5\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "\"5=0%2B5\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"5=5\" Add\r
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\n" ); document.write( "\n" ); document.write( "Since the equation is true, this verifies that \"m=2\" is the answer.
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