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

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

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

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

Reorder the terms:
6 + 15m = 2(-6 + 3m)
6 + 15m = (-6 * 2 + 3m * 2)
6 + 15m = (-12 + 6m)

Solving
6 + 15m = -12 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
6 + 15m + -6m = -12 + 6m + -6m

Combine like terms: 15m + -6m = 9m
6 + 9m = -12 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + 9m = -12 + 0
6 + 9m = -12

Add '-6' to each side of the equation.
6 + -6 + 9m = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9m = -12 + -6
9m = -12 + -6

Combine like terms: -12 + -6 = -18
9m = -18

Divide each side by '9'.
m = -2

Simplifying
m = -2