3(m-1)=6+2m

Solution for 3(m-1)=6+2m equation:

Simplifying
3(m + -1) = 6 + 2m

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

Solving
-3 + 3m = 6 + 2m

Solving for variable 'm'.

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

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

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

Combine like terms: 2m + -2m = 0
-3 + 1m = 6 + 0
-3 + 1m = 6

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

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

Combine like terms: 6 + 3 = 9
1m = 9

Divide each side by '1'.
m = 9

Simplifying
m = 9