2m-6=3m+1

Solution for 2m-6=3m+1 equation:

Simplifying
2m + -6 = 3m + 1

Reorder the terms:
-6 + 2m = 3m + 1

Reorder the terms:
-6 + 2m = 1 + 3m

Solving
-6 + 2m = 1 + 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 = 1 + 3m + -3m

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

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

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

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

Combine like terms: 1 + 6 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7