6(m+2)=2m-6

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

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

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

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

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

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

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

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

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

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

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

Simplifying
m = -4.5