solve the following equation for x

Question

x-1/x+5=x-4/x+3. the solution is ?. Thank you for helping me, I need it.

Answer 1

multiply both sides of the equation by (x+5)(x+3).

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

now foil those out, collect terms
(x^2+2x-3)=x^2+x-20
x=17

check my work.