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

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

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

Reorder the terms:
6 + 18m = -8(4 + -2m) + x
6 + 18m = (4 * -8 + -2m * -8) + x
6 + 18m = (-32 + 16m) + x

Solving
6 + 18m = -32 + 16m + x

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 = -32 + 16m + -16m + x

Combine like terms: 18m + -16m = 2m
6 + 2m = -32 + 16m + -16m + x

Combine like terms: 16m + -16m = 0
6 + 2m = -32 + 0 + x
6 + 2m = -32 + x

Add '-6' to each side of the equation.
6 + -6 + 2m = -32 + -6 + x

Combine like terms: 6 + -6 = 0
0 + 2m = -32 + -6 + x
2m = -32 + -6 + x

Combine like terms: -32 + -6 = -38
2m = -38 + x

Divide each side by '2'.
m = -19 + 0.5x

Simplifying
m = -19 + 0.5x