6(1+3m)=7(2x+4)+x

Solution for 6(1+3m)=7(2x+4)+x equation:

Simplifying
6(1 + 3m) = 7(2x + 4) + x
(1 * 6 + 3m * 6) = 7(2x + 4) + x
(6 + 18m) = 7(2x + 4) + x

Reorder the terms:
6 + 18m = 7(4 + 2x) + x
6 + 18m = (4 * 7 + 2x * 7) + x
6 + 18m = (28 + 14x) + x

Combine like terms: 14x + x = 15x
6 + 18m = 28 + 15x

Solving
6 + 18m = 28 + 15x

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 18m = 28 + -6 + 15x

Combine like terms: 6 + -6 = 0
0 + 18m = 28 + -6 + 15x
18m = 28 + -6 + 15x

Combine like terms: 28 + -6 = 22
18m = 22 + 15x

Divide each side by '18'.
m = 1.222222222 + 0.8333333333x

Simplifying
m = 1.222222222 + 0.8333333333x