3(m-2)=2(3*m)

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

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

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

Remove parenthesis around (3m)
-6 + 3m = 2 * 3m

Multiply 2 * 3
-6 + 3m = 6m

Solving
-6 + 3m = 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 + 3m + -6m = 6m + -6m

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

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

Add '6' to each side of the equation.
-6 + 6 + -3m = 0 + 6

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

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

Divide each side by '-3'.
m = -2

Simplifying
m = -2