3(2m+2)-2=5(m-1)+8

Solution for 3(2m+2)-2=5(m-1)+8 equation:

Simplifying
3(2m + 2) + -2 = 5(m + -1) + 8

Reorder the terms:
3(2 + 2m) + -2 = 5(m + -1) + 8
(2 * 3 + 2m * 3) + -2 = 5(m + -1) + 8
(6 + 6m) + -2 = 5(m + -1) + 8

Reorder the terms:
6 + -2 + 6m = 5(m + -1) + 8

Combine like terms: 6 + -2 = 4
4 + 6m = 5(m + -1) + 8

Reorder the terms:
4 + 6m = 5(-1 + m) + 8
4 + 6m = (-1 * 5 + m * 5) + 8
4 + 6m = (-5 + 5m) + 8

Reorder the terms:
4 + 6m = -5 + 8 + 5m

Combine like terms: -5 + 8 = 3
4 + 6m = 3 + 5m

Solving
4 + 6m = 3 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
4 + 6m + -5m = 3 + 5m + -5m

Combine like terms: 6m + -5m = 1m
4 + 1m = 3 + 5m + -5m

Combine like terms: 5m + -5m = 0
4 + 1m = 3 + 0
4 + 1m = 3

Add '-4' to each side of the equation.
4 + -4 + 1m = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 1m = 3 + -4
1m = 3 + -4

Combine like terms: 3 + -4 = -1
1m = -1

Divide each side by '1'.
m = -1

Simplifying
m = -1