Question

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

Answer 1

See the entire solution process below:

Explanation:

First, subtract `color(red)(2m)` and add `color(blue)(31)` to each side of the equation to isolate and solve for the `m` term while keeping the equation balanced:

`2m + 12 - color(red)(2m) + color(blue)(31) = 3m - 31 - color(red)(2m) + color(blue)(31)`

`2m - color(red)(2m) + 12 + color(blue)(31) = 3m - color(red)(2m) - 31 + color(blue)(31)`

`0 + 43 = (3 - 2)m - 0`

`43 = 1m`

`43 = m`

`m = 43`