6+2m-3=9m+5-6m

Solution for 6+2m-3=9m+5-6m equation:

Simplifying
6 + 2m + -3 = 9m + 5 + -6m

Reorder the terms:
6 + -3 + 2m = 9m + 5 + -6m

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

Reorder the terms:
3 + 2m = 5 + 9m + -6m

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

Solving
3 + 2m = 5 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
3 + 2m + -3m = 5 + 3m + -3m

Combine like terms: 2m + -3m = -1m
3 + -1m = 5 + 3m + -3m

Combine like terms: 3m + -3m = 0
3 + -1m = 5 + 0
3 + -1m = 5

Add '-3' to each side of the equation.
3 + -3 + -1m = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 5 + -3
-1m = 5 + -3

Combine like terms: 5 + -3 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2