# How do you solve the rational equation 7/(x-4) = 1 + 9/(x+4)?

$7 \left(x + 4\right) = 1 \left(x - 4\right) \left(x + 4\right) + 9 \left(x - 4\right) \to 7 x + 28 = {x}^{2} - 16 + 9 x - 36 \to 0 = {x}^{2} + 2 x - 80 \to 0 = \left(x + 10\right) \left(x - 8\right) \to x = - 10 \mathmr{and} x = 8$