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

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

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

Reorder the terms:
4(3 + m) + 2(m + -3) = 3(m + -2)
(3 * 4 + m * 4) + 2(m + -3) = 3(m + -2)
(12 + 4m) + 2(m + -3) = 3(m + -2)

Reorder the terms:
12 + 4m + 2(-3 + m) = 3(m + -2)
12 + 4m + (-3 * 2 + m * 2) = 3(m + -2)
12 + 4m + (-6 + 2m) = 3(m + -2)

Reorder the terms:
12 + -6 + 4m + 2m = 3(m + -2)

Combine like terms: 12 + -6 = 6
6 + 4m + 2m = 3(m + -2)

Combine like terms: 4m + 2m = 6m
6 + 6m = 3(m + -2)

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

Solving
6 + 6m = -6 + 3m

Solving for variable 'm'.

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

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

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

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

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

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

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

Divide each side by '3'.
m = -4

Simplifying
m = -4