M-2(1-3m)=6+3(4-m)

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

Simplifying
M + -2(1 + -3m) = 6 + 3(4 + -1m)
M + (1 * -2 + -3m * -2) = 6 + 3(4 + -1m)
M + (-2 + 6m) = 6 + 3(4 + -1m)

Reorder the terms:
-2 + M + 6m = 6 + 3(4 + -1m)
-2 + M + 6m = 6 + (4 * 3 + -1m * 3)
-2 + M + 6m = 6 + (12 + -3m)

Combine like terms: 6 + 12 = 18
-2 + M + 6m = 18 + -3m

Solving
-2 + M + 6m = 18 + -3m

Solving for variable 'M'.

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

Add '2' to each side of the equation.
-2 + M + 2 + 6m = 18 + 2 + -3m

Reorder the terms:
-2 + 2 + M + 6m = 18 + 2 + -3m

Combine like terms: -2 + 2 = 0
0 + M + 6m = 18 + 2 + -3m
M + 6m = 18 + 2 + -3m

Combine like terms: 18 + 2 = 20
M + 6m = 20 + -3m

Add '-6m' to each side of the equation.
M + 6m + -6m = 20 + -3m + -6m

Combine like terms: 6m + -6m = 0
M + 0 = 20 + -3m + -6m
M = 20 + -3m + -6m

Combine like terms: -3m + -6m = -9m
M = 20 + -9m

Simplifying
M = 20 + -9m