SOLUTION: Find the value of x. (5/(x+4))-((3x-5)/(x^2+x-12))=(4/(x-3)) Possible answers a. -13 b. -13/2 c. 13/2 d. 13

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Find the value of x. (5/(x+4))-((3x-5)/(x^2+x-12))=(4/(x-3)) Possible answers a. -13 b. -13/2 c. 13/2 d. 13      Log On

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Question 40438: Find the value of x.
(5/(x+4))-((3x-5)/(x^2+x-12))=(4/(x-3))
Possible answers
a. -13
b. -13/2
c. 13/2
d. 13
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F%28x%2B4%29%29-%28%283x-5%29%2F%28x%5E2%2Bx-12%29%29+=+%284%2F%28x-3%29%29
%285%2F%28x%2B4%29%29-%28%283x-5%29%2F%28%28x%2B4%29%28x-3%29%29%29+=+%284%2F%28x-3%29%29
%28%285%28x-3%29%29%2F%28%28x%2B4%29%28x-3%29%29%29-%28%283x-5%29%2F%28%28x%2B4%29%28x-3%29%29%29+=+%28%284%28x%2B4%29%29%2F%28%28x-3%29%28x%2B4%29%29%29
%28%285x+-+15%29%29%2F%28%28x%2B4%29%28x-3%29%29-%28%283x+-+5%29%2F%28%28x%2B4%29%28x-3%29%29%29+=+%28%284x+%2B+16%29%29%2F%28%28x-3%29%28x%2B4%29%29%29
%285x+-+15+-+3x+%2B+5%29%2F%28%28x%2B4%29%28x-3%29%29+=+%28%284x+%2B+16%29%29%2F%28%28x-3%29%28x%2B4%29%29%29
5x+-+15+-+3x+%2B+5+=+4x+%2B+16
-2x+=+26
x+=+-13
The answer is (a.)