We are given the equation $\frac{8}{x+1} = \frac{4}{3}$ and we want to solve for $x$.

1. Problem Description

We are given the equation $\frac{8}{x+1} = \frac{4}{3}$ and we want to solve for $x$.

2. Solution Steps

To solve the equation $\frac{8}{x+1} = \frac{4}{3}$, we can cross-multiply.

$8 \cdot 3 = 4 \cdot (x+1)$

$24 = 4(x+1)$

Divide both sides by 4:

$\frac{24}{4} = \frac{4(x+1)}{4}$

$6 = x+1$

Subtract 1 from both sides:

$6 - 1 = x + 1 - 1$

$5 = x$

Therefore, $x = 5$.

3. Final Answer

The final answer is 5.