document.write( "Question 198054: solve |2x-7|=12, show all work \n" ); document.write( "
Algebra.Com's Answer #148532 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"abs%282x-7%29=12\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "Break up the absolute value (remember, if you have \"abs%28x%29=a\", then \"x=-a\" or \"x=a\")\r
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\n" ); document.write( "\n" ); document.write( "\"2x-7=-12\" or \"2x-7=12\" Set the expression \"2x-7\" equal to the original value 12 and it's opposite -12\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the first equation \"2x-7=-12\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x=-12%2B7\"Add 7 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2x=-5\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=-5%2F2\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the second equation \"2x-7=12\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x=12%2B7\"Add 7 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2x=19\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2819%29%2F%282%29\" Divide both sides by 2 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=19%2F2\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "So the solutions to \"abs%282x-7%29=12\" are:\r
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\n" ); document.write( "\n" ); document.write( "\"x=-5%2F2\" and \"x=19%2F2\"\r
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