4n+6=n-6

Solution for 4n+6=n-6 equation:

Simplifying
4n + 6 = n + -6

Reorder the terms:
6 + 4n = n + -6

Reorder the terms:
6 + 4n = -6 + n

Solving
6 + 4n = -6 + 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 + 4n + -1n = -6 + n + -1n

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

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

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

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

Combine like terms: -6 + -6 = -12
3n = -12

Divide each side by '3'.
n = -4

Simplifying
n = -4