2n+6=5n-6

Solution for 2n+6=5n-6 equation:

Simplifying
2n + 6 = 5n + -6

Reorder the terms:
6 + 2n = 5n + -6

Reorder the terms:
6 + 2n = -6 + 5n

Solving
6 + 2n = -6 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 2n + -5n = -6 + 5n + -5n

Combine like terms: 2n + -5n = -3n
6 + -3n = -6 + 5n + -5n

Combine like terms: 5n + -5n = 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