2(m+3)+2m=5m

Solution for 2(m+3)+2m=5m equation:

Simplifying
2(m + 3) + 2m = 5m

Reorder the terms:
2(3 + m) + 2m = 5m
(3 * 2 + m * 2) + 2m = 5m
(6 + 2m) + 2m = 5m

Combine like terms: 2m + 2m = 4m
6 + 4m = 5m

Solving
6 + 4m = 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
6 + 4m + -5m = 5m + -5m

Combine like terms: 4m + -5m = -1m
6 + -1m = 5m + -5m

Combine like terms: 5m + -5m = 0
6 + -1m = 0

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

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

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

Divide each side by '-1'.
m = 6

Simplifying
m = 6