document.write( "Question 80549: Solve the equation.
\n" ); document.write( "6/x-3 = 9/x+3 \n" ); document.write( "

Algebra.Com's Answer #57778 by tutorcecilia(2152) $\"\"$ $\"About$

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$\"%28%286%2F%28x-3%29%29%29\"$ = $\"%289%2F%28x%2B3%29%29\"$
\n" ); document.write( " $\"%28%28%28x-3%29%28x%2B3%296%2F%28x-3%29%29%29\"$ = $\"%28%28x-3%29%28x%2B3%299%2F%28x%2B3%29%29\"$ [multiply each term by the GCF]
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\n" ); document.write( "(x+3)6 = (x-3)9 [cancel wherever possible]
\n" ); document.write( "6x+18=9x-27 [simplify]
\n" ); document.write( "6x-6x+18=9x-6x-27 [solve for the x-term]
\n" ); document.write( "18=3x-27
\n" ); document.write( "18+27=3x-27+27
\n" ); document.write( "45=3x
\n" ); document.write( "x=15
\n" ); document.write( ".
\n" ); document.write( "Check by plugging (x=15) back into the original equation.
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