6n-6=5n+1

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

Simplifying
6n + -6 = 5n + 1

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

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

Solving
-6 + 6n = 1 + 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 + 6n + -5n = 1 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
-6 + 1n = 1 + 0
-6 + 1n = 1

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

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

Combine like terms: 1 + 6 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7