4/(x+1) = 3/x + 1/15 Should we make common denominators with everything, we get 4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)] Multiply both sides of the equation by the denominator to cancel them 60x = 45(x+1) + x(x+1) 60x = 45x + 45 + x^2 + x x^2 - 14x + 45 = 0 (x-9)(x-5) = 0 The answer to this question is that the solutions are x=9 and x=5.