2n+6=3n+1

Solution for 2n+6=3n+1 equation:

Simplifying
2n + 6 = 3n + 1

Reorder the terms:
6 + 2n = 3n + 1

Reorder the terms:
6 + 2n = 1 + 3n

Solving
6 + 2n = 1 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 2n + -3n = 1 + 3n + -3n

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

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

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

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

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

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

Simplifying
n = 5