Solve 12/(x+1)-10/(x-3)=-3.Answer provided

answer:5,-11/3

[12 / (x + 1)] - [10 / (x - 3)] = -3

[12(x - 3) - 10(x + 1)] / [(x + 1)(x - 3)] = -3

12(x - 3) - 10(x + 1) = -3(x + 1)(x - 3)

12x - 36 - 10x - 10 = -3(x^2 - 2x - 3)

2x - 46 = -3x^2 + 6x + 9

3x^2 - 4x - 55 = 0

(3x + 11)(x - 5) = 0

x = {-11/3, 5}