6(1+3m)=-8(-2m+5-4)

Solution for 6(1+3m)=-8(-2m+5-4) equation:

Simplifying
6(1 + 3m) = -8(-2m + 5 + -4)
(1 * 6 + 3m * 6) = -8(-2m + 5 + -4)
(6 + 18m) = -8(-2m + 5 + -4)

Reorder the terms:
6 + 18m = -8(5 + -4 + -2m)

Combine like terms: 5 + -4 = 1
6 + 18m = -8(1 + -2m)
6 + 18m = (1 * -8 + -2m * -8)
6 + 18m = (-8 + 16m)

Solving
6 + 18m = -8 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
6 + 18m + -16m = -8 + 16m + -16m

Combine like terms: 18m + -16m = 2m
6 + 2m = -8 + 16m + -16m

Combine like terms: 16m + -16m = 0
6 + 2m = -8 + 0
6 + 2m = -8

Add '-6' to each side of the equation.
6 + -6 + 2m = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 2m = -8 + -6
2m = -8 + -6

Combine like terms: -8 + -6 = -14
2m = -14

Divide each side by '2'.
m = -7

Simplifying
m = -7