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

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

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

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

Reorder the terms:
6 + 2m = -4(-5 + 3m)
6 + 2m = (-5 * -4 + 3m * -4)
6 + 2m = (20 + -12m)

Solving
6 + 2m = 20 + -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 + 2m + 12m = 20 + -12m + 12m

Combine like terms: 2m + 12m = 14m
6 + 14m = 20 + -12m + 12m

Combine like terms: -12m + 12m = 0
6 + 14m = 20 + 0
6 + 14m = 20

Add '-6' to each side of the equation.
6 + -6 + 14m = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 14m = 20 + -6
14m = 20 + -6

Combine like terms: 20 + -6 = 14
14m = 14

Divide each side by '14'.
m = 1

Simplifying
m = 1