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

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

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

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

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

Solving
6 + 3m = 10 + 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.
6 + 3m + -2m = 10 + 2m + -2m

Combine like terms: 3m + -2m = 1m
6 + 1m = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + 1m = 10 + 0
6 + 1m = 10

Add '-6' to each side of the equation.
6 + -6 + 1m = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1m = 10 + -6
1m = 10 + -6

Combine like terms: 10 + -6 = 4
1m = 4

Divide each side by '1'.
m = 4

Simplifying
m = 4