2m+3(m+2)=0

Solution for 2m+3(m+2)=0 equation:

Simplifying
2m + 3(m + 2) = 0

Reorder the terms:
2m + 3(2 + m) = 0
2m + (2 * 3 + m * 3) = 0
2m + (6 + 3m) = 0

Reorder the terms:
6 + 2m + 3m = 0

Combine like terms: 2m + 3m = 5m
6 + 5m = 0

Solving
6 + 5m = 0

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 = 0 + -6

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

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

Divide each side by '5'.
m = -1.2

Simplifying
m = -1.2