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

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

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

Add '-6' to each side of the equation.
6 + -6 + 3m = 6 + -6 + -2m

Combine like terms: 6 + -6 = 0
0 + 3m = 6 + -6 + -2m
3m = 6 + -6 + -2m

Combine like terms: 6 + -6 = 0
3m = 0 + -2m
3m = -2m

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

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

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

Divide each side by '5'.
m = 0

Simplifying
m = 0