2(3n-3)=(2n+2)+8

Solution for 2(3n-3)=(2n+2)+8 equation:

Simplifying
2(3n + -3) = (2n + 2) + 8

Reorder the terms:
2(-3 + 3n) = (2n + 2) + 8
(-3 * 2 + 3n * 2) = (2n + 2) + 8
(-6 + 6n) = (2n + 2) + 8

Reorder the terms:
-6 + 6n = (2 + 2n) + 8

Remove parenthesis around (2 + 2n)
-6 + 6n = 2 + 2n + 8

Reorder the terms:
-6 + 6n = 2 + 8 + 2n

Combine like terms: 2 + 8 = 10
-6 + 6n = 10 + 2n

Solving
-6 + 6n = 10 + 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 = 10 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-6 + 4n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 4n = 10 + 0
-6 + 4n = 10

Add '6' to each side of the equation.
-6 + 6 + 4n = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 10 + 6
4n = 10 + 6

Combine like terms: 10 + 6 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4