# How do you solve 4(5-x)=8 using the distributive property?

Jun 13, 2017

See a solution process below:

#### Explanation:

First, using the distributive property, expand the term in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{4} \left(5 - x\right) = 8$

$\left(\textcolor{red}{4} \cdot 5\right) - \left(\textcolor{red}{4} \cdot x\right) = 8$

$20 - 4 x = 8$

Next, subtract $\textcolor{red}{20}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$- \textcolor{red}{20} + 20 - 4 x = - \textcolor{red}{20} + 8$

$0 - 4 x = - 12$

$- 4 x = - 12$

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

$\frac{- 4 x}{\textcolor{red}{- 4}} = \frac{- 12}{\textcolor{red}{- 4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4}}} x}{\cancel{\textcolor{red}{- 4}}} = 3$

$x = 3$