# How do you solve 7+19m=3m+2?

##### 2 Answers
Jun 12, 2017

$m = - \frac{5}{16}$

#### Explanation:

Subtract $7$ and $3 m$ from both sides:

$\cancel{7 - 7} + 19 m - 3 m = \cancel{3 m - 3 m} + 2 - 7$

$19 m - 3 m = 2 - 7$

Combine like terms:

$16 m = - 5$

Divide $16 m$ to both sides to isolate $m$

$\frac{\cancel{16}}{\cancel{16}} m = - \frac{5}{16}$

$m = - \frac{5}{16}$

Jun 12, 2017

First, by transposing method, we'll send the $3 m$ to LHS and $7$ to RHS
$19 m - 3 m = - 7 + 2$
and, now, we'll solve them (because we can)
$16 m = - 5$
and, by transposing method, again,
$m = \frac{- 5}{16}$