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

Solution for 6(1-3m)=3(-4m+6) equation:

Simplifying
6(1 + -3m) = 3(-4m + 6)
(1 * 6 + -3m * 6) = 3(-4m + 6)
(6 + -18m) = 3(-4m + 6)

Reorder the terms:
6 + -18m = 3(6 + -4m)
6 + -18m = (6 * 3 + -4m * 3)
6 + -18m = (18 + -12m)

Solving
6 + -18m = 18 + -12m

Solving for variable 'm'.

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

Add '12m' to each side of the equation.
6 + -18m + 12m = 18 + -12m + 12m

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

Combine like terms: -12m + 12m = 0
6 + -6m = 18 + 0
6 + -6m = 18

Add '-6' to each side of the equation.
6 + -6 + -6m = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -6m = 18 + -6
-6m = 18 + -6

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

Divide each side by '-6'.
m = -2

Simplifying
m = -2