# How do you solve 3( 2w + 8) = 60?

May 1, 2018

$w = 6$

#### Explanation:

Divide the equation by 3.
$\implies \left(2 w + 8\right) = 20$
Subtract 8 from both sides.
$\implies 2 w = 12$
Divide by 2.
$\implies w = 6$

May 1, 2018

$w = 6$

#### Explanation:

$\text{divide both sides by } 3$

$\frac{\cancel{3}}{\cancel{3}} \left(2 w + 8\right) = \frac{60}{3}$

$\Rightarrow 2 w + 8 = 20$

$\text{subtract 8 from both sides}$

$2 w \cancel{+ 8} \cancel{- 8} = 20 - 8$

$\Rightarrow 2 w = 12$

$\text{divide both sides by } 2$

$\frac{\cancel{2} w}{\cancel{2}} = \frac{12}{2}$

$\Rightarrow w = 6$

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

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

$3 \left(12 + 8\right) = 3 \times 20 = 60 = \text{ right side}$

$\Rightarrow w = 6 \text{ is the solution}$