# How do you solve (4 + x) / 5<=8?

Mar 5, 2018

See a solution process below:

#### Explanation:

First, multiply each side of the inequality by $\textcolor{red}{5}$ to eliminate the fraction while keeping the equation balanced:

$\textcolor{red}{5} \times \frac{4 + x}{5} \le \textcolor{red}{5} \times 8$

$\cancel{\textcolor{red}{5}} \times \frac{4 + x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}} \le 40$

$4 + x \le 40$

Now, subtract $\textcolor{red}{4}$ from each side of the equation to solve for $x$ while keeping the equation balanced:

$4 - \textcolor{red}{4} + x \le 40 - \textcolor{red}{4}$

$0 + x \le 36$

$x \le 36$