3(m+2)=30+6m

Solution for 3(m+2)=30+6m equation:

Simplifying
3(m + 2) = 30 + 6m

Reorder the terms:
3(2 + m) = 30 + 6m
(2 * 3 + m * 3) = 30 + 6m
(6 + 3m) = 30 + 6m

Solving
6 + 3m = 30 + 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 + 3m + -6m = 30 + 6m + -6m

Combine like terms: 3m + -6m = -3m
6 + -3m = 30 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -3m = 30 + 0
6 + -3m = 30

Add '-6' to each side of the equation.
6 + -6 + -3m = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -3m = 30 + -6
-3m = 30 + -6

Combine like terms: 30 + -6 = 24
-3m = 24

Divide each side by '-3'.
m = -8

Simplifying
m = -8