3(2+4m)-6m=2m-12

Solution for 3(2+4m)-6m=2m-12 equation:

Simplifying
3(2 + 4m) + -6m = 2m + -12
(2 * 3 + 4m * 3) + -6m = 2m + -12
(6 + 12m) + -6m = 2m + -12

Combine like terms: 12m + -6m = 6m
6 + 6m = 2m + -12

Reorder the terms:
6 + 6m = -12 + 2m

Solving
6 + 6m = -12 + 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.
6 + 6m + -2m = -12 + 2m + -2m

Combine like terms: 6m + -2m = 4m
6 + 4m = -12 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + 4m = -12 + 0
6 + 4m = -12

Add '-6' to each side of the equation.
6 + -6 + 4m = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 4m = -12 + -6
4m = -12 + -6

Combine like terms: -12 + -6 = -18
4m = -18

Divide each side by '4'.
m = -4.5

Simplifying
m = -4.5