5n-6=4n+2

Solution for 5n-6=4n+2 equation:

Simplifying
5n + -6 = 4n + 2

Reorder the terms:
-6 + 5n = 4n + 2

Reorder the terms:
-6 + 5n = 2 + 4n

Solving
-6 + 5n = 2 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-6 + 5n + -4n = 2 + 4n + -4n

Combine like terms: 5n + -4n = 1n
-6 + 1n = 2 + 4n + -4n

Combine like terms: 4n + -4n = 0
-6 + 1n = 2 + 0
-6 + 1n = 2

Add '6' to each side of the equation.
-6 + 6 + 1n = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = 2 + 6
1n = 2 + 6

Combine like terms: 2 + 6 = 8
1n = 8

Divide each side by '1'.
n = 8

Simplifying
n = 8