2(m+3)=5(6-2m)

Solution for 2(m+3)=5(6-2m) equation:

Simplifying
2(m + 3) = 5(6 + -2m)

Reorder the terms:
2(3 + m) = 5(6 + -2m)
(3 * 2 + m * 2) = 5(6 + -2m)
(6 + 2m) = 5(6 + -2m)
6 + 2m = (6 * 5 + -2m * 5)
6 + 2m = (30 + -10m)

Solving
6 + 2m = 30 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
6 + 2m + 10m = 30 + -10m + 10m

Combine like terms: 2m + 10m = 12m
6 + 12m = 30 + -10m + 10m

Combine like terms: -10m + 10m = 0
6 + 12m = 30 + 0
6 + 12m = 30

Add '-6' to each side of the equation.
6 + -6 + 12m = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 12m = 30 + -6
12m = 30 + -6

Combine like terms: 30 + -6 = 24
12m = 24

Divide each side by '12'.
m = 2

Simplifying
m = 2