document.write( "Question 694367: Can you solve this equation and show steps?
\n" ); document.write( "|4x-2 divided by 5|=|6x+3 divided by 2| \n" ); document.write( "

Algebra.Com's Answer #427940 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"abs%28%284x-2%29%2F5%29=abs%28%286x%2B3%29%2F2%29\"$
\n" ); document.write( "The expressions inside the absolute value could be equal,
\n" ); document.write( "or one could equal the other times $\"%28-1%29\"$ .
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\n" ); document.write( "If they are equal:
\n" ); document.write( " $\"%284x-2%29%2F5=%286x%2B3%29%2F2\"$ --> $\"2%284x-2%29=5%286x%2B3%29\"$ (multiplying both sides of the equal sign times 10, or equating the cross-products)
\n" ); document.write( " $\"2%284x-2%29=5%286x%2B3%29\"$ --> $\"8x-4=30x%2B15\"$
\n" ); document.write( " $\"8x-4=30x%2B15\"$ --> $\"8x-4-8x-15=30x%2B15-8x-15\"$ --> $\"-19=22x\"$ --> $\"-19%2F22=22x%2F22\"$ --> $\"highlight%28x=-19%2F22%29\"$
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\n" ); document.write( "If one expression equals the other times $\"%28-1%29\"$ :
\n" ); document.write( " $\"%28-1%29%284x-2%29%2F5=%286x%2B3%29%2F2\"$ --> $\"%28-1%29%282%29%284x-2%29=5%286x%2B3%29\"$ (multiplying both sides of the equal sign times 10, or equating the cross-products)
\n" ); document.write( " $\"%28-1%29%282%29%284x-2%29=5%286x%2B3%29\"$ -->
\n" ); document.write( " $\"-8x%2B4=30x%2B15\"$ --> $\"-8x%2B4%2B8x-15=30x%2B15%2B8x-15\"$ --> $\"-11=38x\"$ --> $\"-11%2F38=38x%2F38\"$ --> $\"highlight%28x=-11%2F38%29\"$ \n" ); document.write( "

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