# How do you solve 2+ 2g = 8?

May 24, 2018

$g = 3$

#### Explanation:

$2 + 2 g - 2 = 8 - 2$
$2 g = 6$
$2 \frac{g}{2} = \frac{6}{2}$
$g = 3$

May 24, 2018

Subtract 2 from both sides
then divide both sides by 2
to get $g = 3$

#### Explanation:

$2 + 2 g = 8$

$2 + 2 g \textcolor{red}{- 2} = 8 \textcolor{red}{- 2}$
$\Rightarrow 2 g = 6$

$\left(2 g\right) \textcolor{red}{\div 2} = 6 \textcolor{red}{\div 2}$
$\Rightarrow g = 3$

May 24, 2018

$g = 3$

#### Explanation:

$\text{isolate "2g" on the left side of the equation by subtracting}$
$\text{2 from both sides}$

$\cancel{2} \cancel{- 2} + 2 g = 8 - 2$

$2 g = 6$

$\text{divide both sides by 2}$

$\frac{\cancel{2} g}{\cancel{2}} = \frac{6}{2} \Rightarrow g = 3$

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

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

$2 + \left(2 \times 3\right) = 2 + 6 = 8 = \text{ right side}$

$g = 3 \text{ is the solution}$