document.write( "Question 205761: I need your help, please, on a linear equation involving fractions. My problem is 3 over 4 = 1 - 3x-2/x+1. I know I need to find a common denominator, which I think is 4(x+1). Am I right so far? I've done this problem 5 times and came up with 5 different answers. Help.... \n" ); document.write( "

Algebra.Com's Answer #155385 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"3%2F4+=+1-%283x-2%29%2F%28x%2B1%29\"$ First, simplify the right side. LCD is (x+1).
\n" ); document.write( " $\"3%2F4+=+%28%28x%2B1%29-%283x-2%29%29%2F%28x%2B1%29\"$ Now apply the LCD of 4(x+1) to both sides.
\n" ); document.write( " $\"3%28x%2B1%29%2F4%28x%2B1%29+=+4%28%28x%2B1%29-%283x-2%29%29%2F4%28x%2B1%29\"$ Multiply both sides by 4(x+1) to clear the denominators.
\n" ); document.write( " $\"3%28x%2B1%29+=+4%28%28x%2B1%29-%283x-2%29%29\"$ Simplify.
\n" ); document.write( " $\"3x%2B3+=+4x%2B4-12x%2B8\"$
\n" ); document.write( " $\"3x%2B3+=+-8x%2B12\"$ Add 8x to both sides.
\n" ); document.write( " $\"11x%2B3+=+12\"$ Subtract 3 from both sides.
\n" ); document.write( " $\"11x+=+9\"$ Finally, divide both sides by 11.
\n" ); document.write( " $\"highlight%28x+=+9%2F11%29\"$ \n" ); document.write( "

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