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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -2m = -6 + 6 + 3m

Combine like terms: -6 + 6 = 0
0 + -2m = -6 + 6 + 3m
-2m = -6 + 6 + 3m

Combine like terms: -6 + 6 = 0
-2m = 0 + 3m
-2m = 3m

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

Combine like terms: -2m + -3m = -5m
-5m = 3m + -3m

Combine like terms: 3m + -3m = 0
-5m = 0

Divide each side by '-5'.
m = 0

Simplifying
m = 0