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

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

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

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

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

Combine like terms: 6 + -4 = 2
2 + -3m + 2m = 3(m + 4)

Combine like terms: -3m + 2m = -1m
2 + -1m = 3(m + 4)

Reorder the terms:
2 + -1m = 3(4 + m)
2 + -1m = (4 * 3 + m * 3)
2 + -1m = (12 + 3m)

Solving
2 + -1m = 12 + 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.
2 + -1m + -3m = 12 + 3m + -3m

Combine like terms: -1m + -3m = -4m
2 + -4m = 12 + 3m + -3m

Combine like terms: 3m + -3m = 0
2 + -4m = 12 + 0
2 + -4m = 12

Add '-2' to each side of the equation.
2 + -2 + -4m = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -4m = 12 + -2
-4m = 12 + -2

Combine like terms: 12 + -2 = 10
-4m = 10

Divide each side by '-4'.
m = -2.5

Simplifying
m = -2.5