2m+6=7m+1

Solution for 2m+6=7m+1 equation:

Simplifying
2m + 6 = 7m + 1

Reorder the terms:
6 + 2m = 7m + 1

Reorder the terms:
6 + 2m = 1 + 7m

Solving
6 + 2m = 1 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
6 + 2m + -7m = 1 + 7m + -7m

Combine like terms: 2m + -7m = -5m
6 + -5m = 1 + 7m + -7m

Combine like terms: 7m + -7m = 0
6 + -5m = 1 + 0
6 + -5m = 1

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

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

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

Divide each side by '-5'.
m = 1

Simplifying
m = 1