2m+6=24-6m

Solution for 2m+6=24-6m equation:

Simplifying
2m + 6 = 24 + -6m

Reorder the terms:
6 + 2m = 24 + -6m

Solving
6 + 2m = 24 + -6m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '6m' to each side of the equation.
6 + 2m + 6m = 24 + -6m + 6m

Combine like terms: 2m + 6m = 8m
6 + 8m = 24 + -6m + 6m

Combine like terms: -6m + 6m = 0
6 + 8m = 24 + 0
6 + 8m = 24

Add '-6' to each side of the equation.
6 + -6 + 8m = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 8m = 24 + -6
8m = 24 + -6

Combine like terms: 24 + -6 = 18
8m = 18

Divide each side by '8'.
m = 2.25

Simplifying
m = 2.25