6m-3=2m+6

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

Simplifying
6m + -3 = 2m + 6

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

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

Solving
-3 + 6m = 6 + 2m

Solving for variable 'm'.

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

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

Combine like terms: 6m + -2m = 4m
-3 + 4m = 6 + 2m + -2m

Combine like terms: 2m + -2m = 0
-3 + 4m = 6 + 0
-3 + 4m = 6

Add '3' to each side of the equation.
-3 + 3 + 4m = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 4m = 6 + 3
4m = 6 + 3

Combine like terms: 6 + 3 = 9
4m = 9

Divide each side by '4'.
m = 2.25

Simplifying
m = 2.25