2(5m-6)+6(1-3m)=3(2-4m)

Solution for 2(5m-6)+6(1-3m)=3(2-4m) equation:

Simplifying
2(5m + -6) + 6(1 + -3m) = 3(2 + -4m)

Reorder the terms:
2(-6 + 5m) + 6(1 + -3m) = 3(2 + -4m)
(-6 * 2 + 5m * 2) + 6(1 + -3m) = 3(2 + -4m)
(-12 + 10m) + 6(1 + -3m) = 3(2 + -4m)
-12 + 10m + (1 * 6 + -3m * 6) = 3(2 + -4m)
-12 + 10m + (6 + -18m) = 3(2 + -4m)

Reorder the terms:
-12 + 6 + 10m + -18m = 3(2 + -4m)

Combine like terms: -12 + 6 = -6
-6 + 10m + -18m = 3(2 + -4m)

Combine like terms: 10m + -18m = -8m
-6 + -8m = 3(2 + -4m)
-6 + -8m = (2 * 3 + -4m * 3)
-6 + -8m = (6 + -12m)

Solving
-6 + -8m = 6 + -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 + -8m + 12m = 6 + -12m + 12m

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

Combine like terms: -12m + 12m = 0
-6 + 4m = 6 + 0
-6 + 4m = 6

Add '6' to each side of the equation.
-6 + 6 + 4m = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4m = 6 + 6
4m = 6 + 6

Combine like terms: 6 + 6 = 12
4m = 12

Divide each side by '4'.
m = 3

Simplifying
m = 3