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8/(x+1) - 5/(x-4)

L.C.M of (x+1) and (x-4) = (x+1)(x-4)

(8(x-4) - 5(x+1))/(x+1)(x-4) = 0

(8x - 32 - 5x - 5)/(x^{2}-3x-4) = 0

Cross multiplying,

3x - 37 = 0

x = 37/3

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