6n-6+2n+3=6+3n+1

Solution for 6n-6+2n+3=6+3n+1 equation:

Simplifying
6n + -6 + 2n + 3 = 6 + 3n + 1

Reorder the terms:
-6 + 3 + 6n + 2n = 6 + 3n + 1

Combine like terms: -6 + 3 = -3
-3 + 6n + 2n = 6 + 3n + 1

Combine like terms: 6n + 2n = 8n
-3 + 8n = 6 + 3n + 1

Reorder the terms:
-3 + 8n = 6 + 1 + 3n

Combine like terms: 6 + 1 = 7
-3 + 8n = 7 + 3n

Solving
-3 + 8n = 7 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-3 + 8n + -3n = 7 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-3 + 5n = 7 + 3n + -3n

Combine like terms: 3n + -3n = 0
-3 + 5n = 7 + 0
-3 + 5n = 7

Add '3' to each side of the equation.
-3 + 3 + 5n = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5n = 7 + 3
5n = 7 + 3

Combine like terms: 7 + 3 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2