# How do you solve m- 3= \frac { 4} { 6} m - 2?

Jun 4, 2018

$m = 3$

#### Explanation:

Firstly, multiply both sides by 6 as the $\frac{4}{6} m$ looks ugly and we don't want it

$6 m - 18 = 4 m - 12$

from there, take the 4m over so it ends up being $6 m - 4 m - 18 = - 12$ simplify $2 m - 18 = - 12$

next, move the constants to one side, i'll move the -18 over making + 18, so that $2 m = 6$ and thus $m = 3$

Jun 4, 2018

$m = 3$

#### Explanation:

$m - 3 = \frac{4}{6} m - 2$

multiply both sides by $6$

$\therefore 6 m - 18 = 4 m - 12$

$\therefore 6 m - 4 m - 18 + 12 = 0$

$\therefore 2 m - 6 = 0$

$\therefore 2 m = 6$

$\therefore m = \frac{6}{2}$

$\therefore m = 3$