6n-6=5n+1-3n+13

Solution for 6n-6=5n+1-3n+13 equation:

Simplifying
6n + -6 = 5n + 1 + -3n + 13

Reorder the terms:
-6 + 6n = 5n + 1 + -3n + 13

Reorder the terms:
-6 + 6n = 1 + 13 + 5n + -3n

Combine like terms: 1 + 13 = 14
-6 + 6n = 14 + 5n + -3n

Combine like terms: 5n + -3n = 2n
-6 + 6n = 14 + 2n

Solving
-6 + 6n = 14 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-6 + 6n + -2n = 14 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-6 + 4n = 14 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 4n = 14 + 0
-6 + 4n = 14

Add '6' to each side of the equation.
-6 + 6 + 4n = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 14 + 6
4n = 14 + 6

Combine like terms: 14 + 6 = 20
4n = 20

Divide each side by '4'.
n = 5

Simplifying
n = 5