3(m+2)=-6(m+7)

Solution for 3(m+2)=-6(m+7) equation:

Simplifying
3(m + 2) = -6(m + 7)

Reorder the terms:
3(2 + m) = -6(m + 7)
(2 * 3 + m * 3) = -6(m + 7)
(6 + 3m) = -6(m + 7)

Reorder the terms:
6 + 3m = -6(7 + m)
6 + 3m = (7 * -6 + m * -6)
6 + 3m = (-42 + -6m)

Solving
6 + 3m = -42 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
6 + 3m + 6m = -42 + -6m + 6m

Combine like terms: 3m + 6m = 9m
6 + 9m = -42 + -6m + 6m

Combine like terms: -6m + 6m = 0
6 + 9m = -42 + 0
6 + 9m = -42

Add '-6' to each side of the equation.
6 + -6 + 9m = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 9m = -42 + -6
9m = -42 + -6

Combine like terms: -42 + -6 = -48
9m = -48

Divide each side by '9'.
m = -5.333333333

Simplifying
m = -5.333333333