Solve $LaTeX: \displaystyle \frac{8}{x - 4}=\frac{6}{x + 4}$ .

The LCD is $LaTeX: \displaystyle \left(x - 4\right) \left(x + 4\right)$ . Multiplying by the LCD to clear the fractions gives $LaTeX: \displaystyle 8 x + 32 = 6 x - 24$ . Isloating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x = -28$ .