-2(6+m)+3(6+3m)=5m+3m

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

Simplifying
-2(6 + m) + 3(6 + 3m) = 5m + 3m
(6 * -2 + m * -2) + 3(6 + 3m) = 5m + 3m
(-12 + -2m) + 3(6 + 3m) = 5m + 3m
-12 + -2m + (6 * 3 + 3m * 3) = 5m + 3m
-12 + -2m + (18 + 9m) = 5m + 3m

Reorder the terms:
-12 + 18 + -2m + 9m = 5m + 3m

Combine like terms: -12 + 18 = 6
6 + -2m + 9m = 5m + 3m

Combine like terms: -2m + 9m = 7m
6 + 7m = 5m + 3m

Combine like terms: 5m + 3m = 8m
6 + 7m = 8m

Solving
6 + 7m = 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
6 + 7m + -8m = 8m + -8m

Combine like terms: 7m + -8m = -1m
6 + -1m = 8m + -8m

Combine like terms: 8m + -8m = 0
6 + -1m = 0

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6