2m-6=-3m+4

Solution for 2m-6=-3m+4 equation:

Simplifying
2m + -6 = -3m + 4

Reorder the terms:
-6 + 2m = -3m + 4

Reorder the terms:
-6 + 2m = 4 + -3m

Solving
-6 + 2m = 4 + -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 = 4 + -3m + 3m

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

Combine like terms: -3m + 3m = 0
-6 + 5m = 4 + 0
-6 + 5m = 4

Add '6' to each side of the equation.
-6 + 6 + 5m = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5m = 4 + 6
5m = 4 + 6

Combine like terms: 4 + 6 = 10
5m = 10

Divide each side by '5'.
m = 2

Simplifying
m = 2