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

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

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

Reorder the terms:
2m + -4(-2 + 3m) = 5(6 + m)
2m + (-2 * -4 + 3m * -4) = 5(6 + m)
2m + (8 + -12m) = 5(6 + m)

Reorder the terms:
8 + 2m + -12m = 5(6 + m)

Combine like terms: 2m + -12m = -10m
8 + -10m = 5(6 + m)
8 + -10m = (6 * 5 + m * 5)
8 + -10m = (30 + 5m)

Solving
8 + -10m = 30 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
8 + -10m + -5m = 30 + 5m + -5m

Combine like terms: -10m + -5m = -15m
8 + -15m = 30 + 5m + -5m

Combine like terms: 5m + -5m = 0
8 + -15m = 30 + 0
8 + -15m = 30

Add '-8' to each side of the equation.
8 + -8 + -15m = 30 + -8

Combine like terms: 8 + -8 = 0
0 + -15m = 30 + -8
-15m = 30 + -8

Combine like terms: 30 + -8 = 22
-15m = 22

Divide each side by '-15'.
m = -1.466666667

Simplifying
m = -1.466666667