2n+6=n+8

Solution for 2n+6=n+8 equation:

Simplifying
2n + 6 = n + 8

Reorder the terms:
6 + 2n = n + 8

Reorder the terms:
6 + 2n = 8 + n

Solving
6 + 2n = 8 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + 2n + -1n = 8 + n + -1n

Combine like terms: 2n + -1n = 1n
6 + 1n = 8 + n + -1n

Combine like terms: n + -1n = 0
6 + 1n = 8 + 0
6 + 1n = 8

Add '-6' to each side of the equation.
6 + -6 + 1n = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 8 + -6
1n = 8 + -6

Combine like terms: 8 + -6 = 2
1n = 2

Divide each side by '1'.
n = 2

Simplifying
n = 2