2m+6=5m-3

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

Simplifying
2m + 6 = 5m + -3

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

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

Solving
6 + 2m = -3 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
6 + 2m + -5m = -3 + 5m + -5m

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

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

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

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

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

Divide each side by '-3'.
m = 3

Simplifying
m = 3