document.write( "Question 348220: $\"+%284x-1%29%2F%283x%2B6%29-%28x-1%29%2F3=%28x-1%29%2F%28x%2B2%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #249017 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%284x-1%29%2F%283x%2B6%29-%28x-1%29%2F3=%28x-1%29%2F%28x%2B2%29+\"$
\n" ); document.write( "Factor
\n" ); document.write( " $\"+%284x-1%29%2F%283%28x%2B2%29%29-%28x-1%29%2F3=%28x-1%29%2F%28x%2B2%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%284x-1%29%2F%283%28x%2B2%29%29\"$ - $\"%28x-1%29%2F3\"$ = $\"%28x-1%29%2F%28x%2B2%29+\"$
\n" ); document.write( "Multiply by 3(x+2)
\n" ); document.write( "3(x+2)* $\"%284x-1%29%2F%283%28x%2B2%29%29\"$ -3(x+2)* $\"%28x-1%29%2F3\"$ = 3(x+2)* $\"%28x-1%29%2F%28x%2B2%29+\"$
\n" ); document.write( "Cancel the denominators:
\n" ); document.write( "(4x-1) - (x+2)(x-1) = 3(x-1)
\n" ); document.write( ":
\n" ); document.write( "4x - 1 - (x^2 + x - 2) = 3x - 3
\n" ); document.write( "Remove brackets
\n" ); document.write( "4x - 1 - x^2 - x + 2 = 3x - 3
\n" ); document.write( "Combine like terms on the left
\n" ); document.write( "-x^2 + 4x - x - 3x - 1 + 2 + 3 = 0
\n" ); document.write( "-x^2 + 4 = 0
\n" ); document.write( "-x^2 = -4
\n" ); document.write( "x^2 = +4
\n" ); document.write( "x = 2
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original problem
\n" ); document.write( " $\"+%284%282%29-1%29%2F%283%282%29%2B6%29-%282-1%29%2F3=%282-1%29%2F%282%2B2%29+\"$
\n" ); document.write( " $\"7%2F12\"$ - $\"1%2F3\"$ = $\"1%2F4\"$
\n" ); document.write( "Common denominator
\n" ); document.write( " $\"7%2F12\"$ - $\"4%2F12\"$ = $\"3%2F12\"$ ; confirms our solution of x = 2 \n" ); document.write( "

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