# How do you solve 16- 2m = 5m + 9?

Jun 25, 2017

$1 = m$

#### Explanation:

$16 - 2 m = 5 m + 9$

To begin you pick a side that you want to work with usually you want to work with a positive variable $m$.

So we begin by adding $2 m$ to both sides:

$16 \cancel{- 2 m + 2 m} = 5 m + 2 m + 9$

We now have:

$16 = 7 m + 9$

Now we subtract $9$ from both sides:

$16 - 9 = 7 m \cancel{+ 9 - 9}$

$7 = 7 m$

We divide both sides by 7:

$\frac{7}{7} = \frac{\cancel{7 m}}{\cancel{7}}$

$1 = m$