m+6=3(2m-4)

Solution for m+6=3(2m-4) equation:

Simplifying
m + 6 = 3(2m + -4)

Reorder the terms:
6 + m = 3(2m + -4)

Reorder the terms:
6 + m = 3(-4 + 2m)
6 + m = (-4 * 3 + 2m * 3)
6 + m = (-12 + 6m)

Solving
6 + m = -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 + m + -6m = -12 + 6m + -6m

Combine like terms: m + -6m = -5m
6 + -5m = -12 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -5m = -12 + 0
6 + -5m = -12

Add '-6' to each side of the equation.
6 + -6 + -5m = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = -12 + -6
-5m = -12 + -6

Combine like terms: -12 + -6 = -18
-5m = -18

Divide each side by '-5'.
m = 3.6

Simplifying
m = 3.6