2(m+3)+3m=24

Solution for 2(m+3)+3m=24 equation:

Simplifying
2(m + 3) + 3m = 24

Reorder the terms:
2(3 + m) + 3m = 24
(3 * 2 + m * 2) + 3m = 24
(6 + 2m) + 3m = 24

Combine like terms: 2m + 3m = 5m
6 + 5m = 24

Solving
6 + 5m = 24

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 5m = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 24 + -6
5m = 24 + -6

Combine like terms: 24 + -6 = 18
5m = 18

Divide each side by '5'.
m = 3.6

Simplifying
m = 3.6