6-6m=3(x+7m)

Solution for 6-6m=3(x+7m) equation:

Simplifying
6 + -6m = 3(x + 7m)

Reorder the terms:
6 + -6m = 3(7m + x)
6 + -6m = (7m * 3 + x * 3)
6 + -6m = (21m + 3x)

Solving
6 + -6m = 21m + 3x

Solving for variable 'm'.

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

Add '-21m' to each side of the equation.
6 + -6m + -21m = 21m + -21m + 3x

Combine like terms: -6m + -21m = -27m
6 + -27m = 21m + -21m + 3x

Combine like terms: 21m + -21m = 0
6 + -27m = 0 + 3x
6 + -27m = 3x

Add '-6' to each side of the equation.
6 + -6 + -27m = -6 + 3x

Combine like terms: 6 + -6 = 0
0 + -27m = -6 + 3x
-27m = -6 + 3x

Divide each side by '-27'.
m = 0.2222222222 + -0.1111111111x

Simplifying
m = 0.2222222222 + -0.1111111111x