-3m+6-3m=-5(4-m)-4(m-3)

Solution for -3m+6-3m=-5(4-m)-4(m-3) equation:

Simplifying
-3m + 6 + -3m = -5(4 + -1m) + -4(m + -3)

Reorder the terms:
6 + -3m + -3m = -5(4 + -1m) + -4(m + -3)

Combine like terms: -3m + -3m = -6m
6 + -6m = -5(4 + -1m) + -4(m + -3)
6 + -6m = (4 * -5 + -1m * -5) + -4(m + -3)
6 + -6m = (-20 + 5m) + -4(m + -3)

Reorder the terms:
6 + -6m = -20 + 5m + -4(-3 + m)
6 + -6m = -20 + 5m + (-3 * -4 + m * -4)
6 + -6m = -20 + 5m + (12 + -4m)

Reorder the terms:
6 + -6m = -20 + 12 + 5m + -4m

Combine like terms: -20 + 12 = -8
6 + -6m = -8 + 5m + -4m

Combine like terms: 5m + -4m = 1m
6 + -6m = -8 + 1m

Solving
6 + -6m = -8 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
6 + -6m + -1m = -8 + 1m + -1m

Combine like terms: -6m + -1m = -7m
6 + -7m = -8 + 1m + -1m

Combine like terms: 1m + -1m = 0
6 + -7m = -8 + 0
6 + -7m = -8

Add '-6' to each side of the equation.
6 + -6 + -7m = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = -8 + -6
-7m = -8 + -6

Combine like terms: -8 + -6 = -14
-7m = -14

Divide each side by '-7'.
m = 2

Simplifying
m = 2