document.write( "Question 133518: -4*abs(2x-3)+7 = -1\r
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Algebra.Com's Answer #97696 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"-4%2Aabs%282x-3%29%2B7+=+-1+\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"-4%2Aabs%282x-3%29+=+-8+\" Subtract 7 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"abs%282x-3%29+=+2+\" Divide both sides by -4. Notice how the right side is now positive. So this means that a solution exists.\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-3=-2\" or \"2x-3=2\" Set the expression \"2x-3\" equal to the original value 2 and it's opposite -2\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the first equation \"2x-3=-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x=-2%2B3\"Add 3 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2x=1\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%281%29%2F%282%29\" Divide both sides by 2 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=1%2F2\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "Now lets focus on the second equation \"2x-3=2\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x=2%2B3\"Add 3 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=%285%29%2F%282%29\" Divide both sides by 2 to isolate x\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( "So the solutions are:\r
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\n" ); document.write( "\n" ); document.write( "\"x=1%2F2\" and \"x=5%2F2\"\r
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