Solve $LaTeX: \displaystyle \frac{8}{x - 8}=- \frac{2}{x + 5}$ .

The LCD is $LaTeX: \displaystyle \left(x - 8\right) \left(x + 5\right)$ . Multiplying by the LCD to clear the fractions gives $LaTeX: \displaystyle 8 x + 40 = 16 - 2 x$ . Isloating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x = - \frac{12}{5}$ .