SOLUTION: how do I solve this rational expression 9 / x+5 + x / x-3 = 5 my answer is x = 2 and x = 7/3

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Question 216177: how do I solve this rational expression
9 / x+5 + x / x-3 = 5
my answer is x = 2 and x = 7/3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve this rational expression
9 / (x+5) + x / (x-3) = 5
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Multiply thru by (x+5)(x-3) = x^2+2x-15 to get:
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9(x-3) + x(x+5) = 5(x^2+2x-15)
9x - 27 + x^2 + 5x = 5x^2 + 10x - 75
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4x^2 -4x -48 = 0
x^2 - x - 12 = 0
(x-4)(x+3) = 0
x = 4 or x = -3
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Cheers,
Stan H.