Since $5\ge -3$, we use the second case and find that $f(5)=7-4(5)=7-20=\boxed{-13}$
The answer is: -13
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Let \[f(x) =
\begin{cases}
3x + 5 &\text{if }x<-3, \\
7-4x&\text{if }x\ge -3.
\end{cases}
\]Find $f(5)$.

### Answer:
