2m+6=3m-5

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

Simplifying
2m + 6 = 3m + -5

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

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

Solving
6 + 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.
6 + 2m + -3m = -5 + 3m + -3m

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

Combine like terms: 3m + -3m = 0
6 + -1m = -5 + 0
6 + -1m = -5

Add '-6' to each side of the equation.
6 + -6 + -1m = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = -5 + -6
-1m = -5 + -6

Combine like terms: -5 + -6 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11