document.write( "Question 27574: The section I am doing is Solving Rational Equations.
\n" ); document.write( "The problem is 2/x+1 = 1/x-2. This is how I've tried it making the LCD (x+1)(x-1). Then I see how many times the numerator goes into the denominator. I multiply the numerator by the denominator that it doesn't have already. For example I'd multiply 2 by x-2. \"/\" That I use as a division bar. The answer in the back of my book says 5. I would just like this problem done so I can do the rest!
\n" ); document.write( "Thank you very, very, very, very much! \n" ); document.write( "

Algebra.Com's Answer #14976 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve:
\n" ); document.write( " $\"2%2F%28%28x%2B1%29%29+=+1%2F%28%28x-2%29%29\"$ Multiply both sides of the equation by (x+1)
\n" ); document.write( " $\"2+=+%28%28x%2B1%29%29%2F%28%28x-2%29%29\"$ Now multiply both sides by (x-2)
\n" ); document.write( " $\"2%28x-2%29+=+x%2B1\"$ Simplify.
\n" ); document.write( " $\"2x-4+=+x%2B1\"$ Subtract x from both sides.
\n" ); document.write( " $\"x-4+=+1\"$ Finally, add 4 to both sides.
\n" ); document.write( " $\"x+=+5\"$ \n" ); document.write( "

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