# How do you solve 5m + 6= 6m - 6?

Jun 13, 2017

Isolate the variable on one side of the equals sign using inverse operations

$m = 12$

#### Explanation:

Using inverse operations we can

$5 m + 6 = 6 m - 6$

$\iff$ Subtract $5 m$ from both sides

$5 m - 5 m + 6 = 6 m - 5 m - 6$

$\iff$

$6 = m - 6$

$\iff$ Add $6$ to both sides

$6 + 6 = m - 6 + 6$

$\iff$

$12 = m$