Solve x/(x-7) + 6/(x+4) = 1

Observe neither x=7 or x=(-4) are solutionsMultiply through by (x-7), x + 6(x-7)/(x+4) = (x-7)Subtract x, 6(x-7)/(x+4) = -7Multiply through by (x+4), 6(x-7) = -7(x+4)Therefore, 6x - 42 = -7x - 28Rearrange to, 13x = 14Divide by 13, x = 14/13(If possible, check solution in initial equation)