[tex] \frac{x - 4}{x - 1} = \frac{x - 4 + 8}{x - 1 + 16} \\ \frac{x - 4}{x - 1} = \frac{x + 4}{x + 15} [/tex]
[tex](x - 4)(x + 15) = (x + 4)(x - 1) \\ x^{2} + 11x - 60 = {x}^{2} + 3x - 4 \\ 11x - 3x = 60 - 4 \\ 8x = 56 \\ x = 7[/tex]
Espero te ayude.
