# How do you solve 2m + 12 = 3m - 31 ?

Feb 19, 2017

See the entire solution process below:

#### Explanation:

First, subtract $\textcolor{red}{2 m}$ and add $\textcolor{b l u e}{31}$ to each side of the equation to isolate and solve for the $m$ term while keeping the equation balanced:

$2 m + 12 - \textcolor{red}{2 m} + \textcolor{b l u e}{31} = 3 m - 31 - \textcolor{red}{2 m} + \textcolor{b l u e}{31}$

$2 m - \textcolor{red}{2 m} + 12 + \textcolor{b l u e}{31} = 3 m - \textcolor{red}{2 m} - 31 + \textcolor{b l u e}{31}$

$0 + 43 = \left(3 - 2\right) m - 0$

$43 = 1 m$

$43 = m$

$m = 43$