SOLUTION: solve the following equation for x x-5/x+3=x+3/x+1 these are 2 fractions

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Question 463384: solve the following equation for x
x-5/x+3=x+3/x+1
these are 2 fractions
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-5%29%2F%28x%2B30%29+=+%28x%2B3%29%2F%28x%2B1%29
==> %28x-5%29%28x%2B1%29+=+%28x%2B3%29%5E2 after cross-multiplication.
==> x%5E2+-+4x+-+5+=+x%5E2+%2B+6x+%2B+9
==> -4x - 5 = 6x + 9
==> -14 = 10x
==> x = -14/10 = -7/5.