5n+6=7n-2

Solution for 5n+6=7n-2 equation:

Simplifying
5n + 6 = 7n + -2

Reorder the terms:
6 + 5n = 7n + -2

Reorder the terms:
6 + 5n = -2 + 7n

Solving
6 + 5n = -2 + 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 = -2 + 7n + -7n

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

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

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

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

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

Divide each side by '-2'.
n = 4

Simplifying
n = 4