6(m-1)+3(2-m)=12

Solution for 6(m-1)+3(2-m)=12 equation:

Simplifying
6(m + -1) + 3(2 + -1m) = 12

Reorder the terms:
6(-1 + m) + 3(2 + -1m) = 12
(-1 * 6 + m * 6) + 3(2 + -1m) = 12
(-6 + 6m) + 3(2 + -1m) = 12
-6 + 6m + (2 * 3 + -1m * 3) = 12
-6 + 6m + (6 + -3m) = 12

Reorder the terms:
-6 + 6 + 6m + -3m = 12

Combine like terms: -6 + 6 = 0
0 + 6m + -3m = 12
6m + -3m = 12

Combine like terms: 6m + -3m = 3m
3m = 12

Solving
3m = 12

Solving for variable 'm'.

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

Divide each side by '3'.
m = 4

Simplifying
m = 4