5n-6=7n+6

Solution for 5n-6=7n+6 equation:

Simplifying
5n + -6 = 7n + 6

Reorder the terms:
-6 + 5n = 7n + 6

Reorder the terms:
-6 + 5n = 6 + 7n

Solving
-6 + 5n = 6 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-6 + 5n + -7n = 6 + 7n + -7n

Combine like terms: 5n + -7n = -2n
-6 + -2n = 6 + 7n + -7n

Combine like terms: 7n + -7n = 0
-6 + -2n = 6 + 0
-6 + -2n = 6

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

Combine like terms: -6 + 6 = 0
0 + -2n = 6 + 6
-2n = 6 + 6

Combine like terms: 6 + 6 = 12
-2n = 12

Divide each side by '-2'.
n = -6

Simplifying
n = -6