5m+6-3m=4(2m+1)+2

Solution for 5m+6-3m=4(2m+1)+2 equation:

Simplifying
5m + 6 + -3m = 4(2m + 1) + 2

Reorder the terms:
6 + 5m + -3m = 4(2m + 1) + 2

Combine like terms: 5m + -3m = 2m
6 + 2m = 4(2m + 1) + 2

Reorder the terms:
6 + 2m = 4(1 + 2m) + 2
6 + 2m = (1 * 4 + 2m * 4) + 2
6 + 2m = (4 + 8m) + 2

Reorder the terms:
6 + 2m = 4 + 2 + 8m

Combine like terms: 4 + 2 = 6
6 + 2m = 6 + 8m

Add '-6' to each side of the equation.
6 + -6 + 2m = 6 + -6 + 8m

Combine like terms: 6 + -6 = 0
0 + 2m = 6 + -6 + 8m
2m = 6 + -6 + 8m

Combine like terms: 6 + -6 = 0
2m = 0 + 8m
2m = 8m

Solving
2m = 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.
2m + -8m = 8m + -8m

Combine like terms: 2m + -8m = -6m
-6m = 8m + -8m

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

Divide each side by '-6'.
m = 0

Simplifying
m = 0