3(m+2)=m-6

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

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

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

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

Solving
6 + 3m = -6 + m

Solving for variable 'm'.

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

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

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

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

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

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

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

Divide each side by '2'.
m = -6

Simplifying
m = -6