3(2+3m)=2+m

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

Simplifying
3(2 + 3m) = 2 + m
(2 * 3 + 3m * 3) = 2 + m
(6 + 9m) = 2 + m

Solving
6 + 9m = 2 + 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 + 9m + -1m = 2 + m + -1m

Combine like terms: 9m + -1m = 8m
6 + 8m = 2 + m + -1m

Combine like terms: m + -1m = 0
6 + 8m = 2 + 0
6 + 8m = 2

Add '-6' to each side of the equation.
6 + -6 + 8m = 2 + -6

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

Combine like terms: 2 + -6 = -4
8m = -4

Divide each side by '8'.
m = -0.5

Simplifying
m = -0.5