Answer
$ \frac{5x+32}{x+4}$
Work Step by Step
Given \begin{equation}
8-\frac{3 x}{x+4}.
\end{equation} First rewrite $8$ as a fraction: \begin{equation}
8= 8\cdot\frac{x+4}{x+4}= \frac{8x+32}{x+4}.
\end{equation} Find the LCD of the fractions which is: $\mathbf{LCD}=x+4$. Perform subtraction:
\begin{equation}
\begin{aligned}
8-\frac{3 x}{x+4}&=\frac{8x+32}{x+4}-\frac{3 x}{x+4} \\
&= \frac{5x+32}{x+4}.
\end{aligned}
\end{equation}