## Intermediate Algebra: Connecting Concepts through Application

$\color{blue}{x=-10}$
Subtract $45$ from each side to obtain: \begin{align*} 4x+45-45&=5-45\\ 4x&=-40\end{align*} Divide both sides by $4$ to obtain: \begin{align*} \frac{4x}{4}&=\frac{-40}{4}\\\\ x&=-10\end{align*} Therefore, the solution is $\color{blue}{x=-10}$.