8-2m-2=3m+1

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

Simplifying
8 + -2m + -2 = 3m + 1

Reorder the terms:
8 + -2 + -2m = 3m + 1

Combine like terms: 8 + -2 = 6
6 + -2m = 3m + 1

Reorder the terms:
6 + -2m = 1 + 3m

Solving
6 + -2m = 1 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + -2m + -3m = 1 + 3m + -3m

Combine like terms: -2m + -3m = -5m
6 + -5m = 1 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -5m = 1 + 0
6 + -5m = 1

Add '-6' to each side of the equation.
6 + -6 + -5m = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = 1 + -6
-5m = 1 + -6

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

Divide each side by '-5'.
m = 1

Simplifying
m = 1