document.write( "Question 1041844: Solve for x: $\"%284x%2B3%29%2F%28x-6%29%2B%28x-4%29%2F%286-x%29=44%2F%282x-12%29\"$ \n" ); document.write( "

Algebra.Com's Answer #656774 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%284x%2B3%29%2F%28x-6%29%2B%28x-4%29%2F%286-x%29=44%2F%282x-12%29\"$
\n" ); document.write( " $\"%284x%2B3%29%2F%28x-6%29%2B%28-x%2B4%29%2F%28x-6%29=44%2F%282x-12%29\"$
\n" ); document.write( " $\"+%28+4x+%2B+3+-+x+%2B+4+%29+%2F+%28+x+-+6+%29+=+44%2F%28+2x+-+12+%29+\"$
\n" ); document.write( " $\"+%28+3x+%2B+7+%29+%2F+%28+x+-+6+%29++=+22+%2F+%28+x+-+6+%29+\"$
\n" ); document.write( "Note that $\"+x+\"$ cannot = $\"+6+\"$
\n" ); document.write( "( division by zero is not allowed )
\n" ); document.write( "Multiply both sides by $\"+x+-+6+\"$
\n" ); document.write( " $\"+3x+%2B+7+=+22+\"$
\n" ); document.write( " $\"+3x+=+15+\"$
\n" ); document.write( " $\"+x+=+5+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"%284x%2B3%29%2F%28x-6%29%2B%28x-4%29%2F%286-x%29=44%2F%282x-12%29\"$
\n" ); document.write( " $\"%284%2A5%2B3%29%2F%285-6%29%2B%285-4%29%2F%286-5%29=44%2F%282%2A5-12%29\"$
\n" ); document.write( " $\"+23+%2F+%28-1%29+%2B+1+%2F+1+=+44+%2F+%28-2%29+\"$
\n" ); document.write( " $\"+-23+%2B+1+=+-22+\"$
\n" ); document.write( " $\"+-22+=+-22+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );