2(3n-2)=(2n+6)+6

Solution for 2(3n-2)=(2n+6)+6 equation:

Simplifying
2(3n + -2) = (2n + 6) + 6

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

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

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

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

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

Solving
-4 + 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.
-4 + 6n + -2n = 12 + 2n + -2n

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

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

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

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

Combine like terms: 12 + 4 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4