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

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

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

Reorder the terms:
3(2 + 5m) = 2(m + -3) + m
(2 * 3 + 5m * 3) = 2(m + -3) + m
(6 + 15m) = 2(m + -3) + m

Reorder the terms:
6 + 15m = 2(-3 + m) + m
6 + 15m = (-3 * 2 + m * 2) + m
6 + 15m = (-6 + 2m) + m

Combine like terms: 2m + m = 3m
6 + 15m = -6 + 3m

Solving
6 + 15m = -6 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + 15m + -3m = -6 + 3m + -3m

Combine like terms: 15m + -3m = 12m
6 + 12m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + 12m = -6 + 0
6 + 12m = -6

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

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

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

Divide each side by '12'.
m = -1

Simplifying
m = -1