Question 746040
you stated the problem very cleanly, good for you

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

here we go

(1)/(x+5)+(3)/(x+5)(x-4) = (2)/(x-4)   note that I factored the quadratic

multiply both sides of the = sign by (x+5)(x-4), and we get

(x-4)+3 = (2)(x+5)

x-1 = 2x+10

x=-11