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

Solution for -3m+6(1-m)=6(5-m) equation:

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

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

Combine like terms: -3m + -6m = -9m
6 + -9m = 6(5 + -1m)
6 + -9m = (5 * 6 + -1m * 6)
6 + -9m = (30 + -6m)

Solving
6 + -9m = 30 + -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 + -9m + 6m = 30 + -6m + 6m

Combine like terms: -9m + 6m = -3m
6 + -3m = 30 + -6m + 6m

Combine like terms: -6m + 6m = 0
6 + -3m = 30 + 0
6 + -3m = 30

Add '-6' to each side of the equation.
6 + -6 + -3m = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -3m = 30 + -6
-3m = 30 + -6

Combine like terms: 30 + -6 = 24
-3m = 24

Divide each side by '-3'.
m = -8

Simplifying
m = -8