# How do you solve 2m-17=21?

Jan 29, 2017

$m = 19$

#### Explanation:

Isolate 2m by adding 17 to both sides of the equation.

$2 m \cancel{- 17} \cancel{+ 17} = 21 + 17$

$\Rightarrow 2 m = 38$

To solve for m, divide both sides by 2

$\frac{\cancel{2} m}{\cancel{2}} = \frac{38}{2}$

$\Rightarrow m = 19$

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

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

$m = 19 \to \left(2 \times 19\right) - 17 = 38 - 17 = 21 = \text{ right side}$

$\Rightarrow m = 19 \text{ is the solution}$