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

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

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

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

Solving
3 + -3m = -12 + -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.
3 + -3m + 6m = -12 + -6m + 6m

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

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

Add '-3' to each side of the equation.
3 + -3 + 3m = -12 + -3

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

Combine like terms: -12 + -3 = -15
3m = -15

Divide each side by '3'.
m = -5

Simplifying
m = -5