(x+3)/(x^2-x-12) + (2/x + 3)= (1)/(x-4)

Answer 1

(x+3)/(x^2-x-12) + (2/x + 3)= (1)/(x-4)
Factorize denominator on the left hand side
(x+3)/((x+3)(x-4) + (2/x + 3) = 1/(x-4)
Cancel common factors (x+3)
1/(x-4) + (2/x + 3) = 1/(x-4)
Eliminate identical terms on each side:
(2/x + 3) = 0
Solve for x.