Solve the following equation?
(14)/(x+2) - (1) / (x-4) = 1
14/(x+2) - 1/(x-4) = 1.
(14x-56-x-2)/(x+2)(x-4) = 1
(13x-58)/(x+2)(x-4) = 1
13x - 58 = (x+2)(x-4)
13x - 58 = x^2-4x+2x-8
x^2-4x+2x-8-13x = -58
x^2-15x-8 = -58
x^2-15x+50 = 0
(x-10)(x-5) = 0.
x-10 = 0
X = 10.
x-5 = 0
X = s.
Solution Set: X = 5, and X = 10.