3(m+2)=-2m+8

Solution for 3(m+2)=-2m+8 equation:

Simplifying
3(m + 2) = -2m + 8

Reorder the terms:
3(2 + m) = -2m + 8
(2 * 3 + m * 3) = -2m + 8
(6 + 3m) = -2m + 8

Reorder the terms:
6 + 3m = 8 + -2m

Solving
6 + 3m = 8 + -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.
6 + 3m + 2m = 8 + -2m + 2m

Combine like terms: 3m + 2m = 5m
6 + 5m = 8 + -2m + 2m

Combine like terms: -2m + 2m = 0
6 + 5m = 8 + 0
6 + 5m = 8

Add '-6' to each side of the equation.
6 + -6 + 5m = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 8 + -6
5m = 8 + -6

Combine like terms: 8 + -6 = 2
5m = 2

Divide each side by '5'.
m = 0.4

Simplifying
m = 0.4