Solve $LaTeX: \displaystyle \frac{6}{x + 8}=\frac{10}{x + 4}$ .

The LCD is $LaTeX: \displaystyle \left(x + 4\right) \left(x + 8\right)$ . Multiplying by the LCD to clear the fractions gives $LaTeX: \displaystyle 6 x + 24 = 10 x + 80$ . Isloating $LaTeX: \displaystyle x$ gives $LaTeX: \displaystyle x = -14$ .