document.write( "Question 217280: I know the answer is 7 but how would you show the work for this question: For what value of a is a(x-5)=9x-25-2x-10 an identity? \n" ); document.write( "
Algebra.Com's Answer #163847 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
There are two ways to do this, here's one way:\r
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\n" ); document.write( "\n" ); document.write( "\"a%28x-5%29=9x-25-2x-10\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"a%28x-5%29=7x-35\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"a%28x-5%29=7%28x-5%29\" Factor out the GCF 7 from the right side.\r
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\n" ); document.write( "\n" ); document.write( " Divide both sides by \"x-5\".\r
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\n" ); document.write( "\n" ); document.write( "\"a=7\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "So the value \"a=7\" makes \"a%28x-5%29=9x-25-2x-10\" an identity. Go ahead and try to solve \"7%28x-5%29=9x-25-2x-10\" to confirm the answer.
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