# 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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 Click here to see ALL problems on Rational-functions Question 216177: how do I solve this rational expression 9 / x+5 + x / x-3 = 5 my answer is x = 2 and x = 7/3Answer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!solve this rational expression 9 / (x+5) + x / (x-3) = 5 -------------------- Multiply thru by (x+5)(x-3) = x^2+2x-15 to get: --------------------------------------- 9(x-3) + x(x+5) = 5(x^2+2x-15) 9x - 27 + x^2 + 5x = 5x^2 + 10x - 75 --------------------------------------- 4x^2 -4x -48 = 0 x^2 - x - 12 = 0 (x-4)(x+3) = 0 x = 4 or x = -3 ===================== Cheers, Stan H.