document.write( "Question 908845: Solve the equation and write the solution set. Show your work.
\n" ); document.write( "|3x-5|+2=5x-1
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Algebra.Com's Answer #551441 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
|3x-5|+2=5x-1\r
\n" ); document.write( "\n" ); document.write( "\"abs%283x-5%29=5x-1-2\"
\n" ); document.write( "\"abs%283x-5%29=5x-3\"\r
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\n" ); document.write( "\n" ); document.write( "CASE, 3x-5 positive or zero.
\n" ); document.write( "\"3x-5=5x-3\"
\n" ); document.write( "\"3x-5x-5=-3\"
\n" ); document.write( "\"-2x-5=-3\"
\n" ); document.write( "\"-2x=-3%2B5\"
\n" ); document.write( "\"-2x=2\"
\n" ); document.write( "\"highlight%28x=-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "CASE, 3x-5 NEGATIVE.
\n" ); document.write( "\"-3x%2B5=5x-3\"
\n" ); document.write( "\"-3x-5x%2B5=-3\"
\n" ); document.write( "\"-8x%2B5=-3\"
\n" ); document.write( "\"8x-5=3\"
\n" ); document.write( "\"8x=3%2B5\"
\n" ); document.write( "\"8x=8\"
\n" ); document.write( "\"highlight%28x=1%29\"\r
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\n" ); document.write( "\n" ); document.write( "SOLUTION: \"highlight%28x=-1%29\" OR \"highlight%28x=1%29\", ... but these do not work.\r
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\n" ); document.write( "\n" ); document.write( "CHECK SOLUTION:
\n" ); document.write( "-------------------------------
\n" ); document.write( "|3x-5|+2=5x-1
\n" ); document.write( "\"abs%283%28-1%29-5%29%2B2=5%28-1%29-1\"
\n" ); document.write( "\"8%2B2=-6\"
\n" ); document.write( "\"10=-6\", clearly FALSE.
\n" ); document.write( "-
\n" ); document.write( "\"abs%283%2A1-5%29%2B2=5%2A1-1\"
\n" ); document.write( "\"abs%28-2%29%2B2=4\", clearly FALSE.
\n" ); document.write( "\"2%2B2=4\", TRUE.\r
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\n" ); document.write( "\n" ); document.write( "RESULT: -1 fails; but +1 works.
\n" ); document.write( "ANSWER: \"highlight%28x=1%29\"\r
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