# How do you solve 12(x+20)=372 using the distributive property?

Apr 1, 2017

$x = 11$

#### Explanation:

The first step is to distribute the bracket on the left side.

$\Rightarrow 12 x + 240 = 372$

Isolate 12x by subtracting 240 from both sides.

$12 x \cancel{+ 240} \cancel{- 240} = 372 - 240$

$\Rightarrow 12 x = 132$

divide both sides by 12

$\frac{\cancel{12} x}{\cancel{12}} = \frac{132}{12}$

$\Rightarrow x = 11$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side of the equation and if it equals the right side then it is the solution.

$\text{left side "=12(11+20)=12xx31=372=" right side}$

$\Rightarrow x = 11 \text{ is the solution}$