3(2n-2)=(2n+4)+8

Solution for 3(2n-2)=(2n+4)+8 equation:

Simplifying
3(2n + -2) = (2n + 4) + 8

Reorder the terms:
3(-2 + 2n) = (2n + 4) + 8
(-2 * 3 + 2n * 3) = (2n + 4) + 8
(-6 + 6n) = (2n + 4) + 8

Reorder the terms:
-6 + 6n = (4 + 2n) + 8

Remove parenthesis around (4 + 2n)
-6 + 6n = 4 + 2n + 8

Reorder the terms:
-6 + 6n = 4 + 8 + 2n

Combine like terms: 4 + 8 = 12
-6 + 6n = 12 + 2n

Solving
-6 + 6n = 12 + 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 = 12 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-6 + 4n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 4n = 12 + 0
-6 + 4n = 12

Add '6' to each side of the equation.
-6 + 6 + 4n = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 12 + 6
4n = 12 + 6

Combine like terms: 12 + 6 = 18
4n = 18

Divide each side by '4'.
n = 4.5

Simplifying
n = 4.5