SOLUTION: Solve the equation. 6/x-3 = 9/x+3

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Question 80549: Solve the equation.
6/x-3 = 9/x+3
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286%2F%28x-3%29%29%29 = %289%2F%28x%2B3%29%29
%28%28%28x-3%29%28x%2B3%296%2F%28x-3%29%29%29 = %28%28x-3%29%28x%2B3%299%2F%28x%2B3%29%29 [multiply each term by the GCF]
.
(x+3)6 = (x-3)9 [cancel wherever possible]
6x+18=9x-27 [simplify]
6x-6x+18=9x-6x-27 [solve for the x-term]
18=3x-27
18+27=3x-27+27
45=3x
x=15
.
Check by plugging (x=15) back into the original equation.