# How do you solve 32 8 = 8 ( 5 - 6 x )?

Mar 19, 2018

See a solution process below:

#### Explanation:

First, divide each side of the equation by $\textcolor{red}{8}$ to eliminate the parenthesis while keeping the equation balanced:

$\frac{328}{\textcolor{red}{8}} = \frac{8 \left(5 - 6 x\right)}{\textcolor{red}{8}}$

$41 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{8}}} \left(5 - 6 x\right)}{\cancel{\textcolor{red}{8}}}$

$41 = 5 - 6 x$

Next, subtract $\textcolor{red}{5}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$41 - \textcolor{red}{5} = 5 - \textcolor{red}{5} - 6 x$

$36 = 0 - 6 x$

$36 = - 6 x$

Now, divide each side of the equation by $\textcolor{red}{- 6}$ to solve for $x$ while keeping the equation balanced:

$\frac{36}{\textcolor{red}{- 6}} = \frac{- 6 x}{\textcolor{red}{- 6}}$

$- 6 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 6}}} x}{\cancel{\textcolor{red}{- 6}}}$

$- 6 = x$

$x = - 6$