3n+6=10-n

Solution for 3n+6=10-n equation:

Simplifying
3n + 6 = 10 + -1n

Reorder the terms:
6 + 3n = 10 + -1n

Solving
6 + 3n = 10 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + 3n + n = 10 + -1n + n

Combine like terms: 3n + n = 4n
6 + 4n = 10 + -1n + n

Combine like terms: -1n + n = 0
6 + 4n = 10 + 0
6 + 4n = 10

Add '-6' to each side of the equation.
6 + -6 + 4n = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 10 + -6
4n = 10 + -6

Combine like terms: 10 + -6 = 4
4n = 4

Divide each side by '4'.
n = 1

Simplifying
n = 1