1/(5x+20)-1/(x^2-16)=3/(x-4)

1/(5(x+4) - 1/((x+4)(x-4)) = 3/(x-4)

multiply each term by 5(x+4)(x-4)

(x-4) - 5 = 15(x+4)
x-4-5 = 15x + 60
-14x = 69
x = -69/14