2(3n+1)=2n+2

Solution for 2(3n+1)=2n+2 equation:

Simplifying
2(3n + 1) = 2n + 2

Reorder the terms:
2(1 + 3n) = 2n + 2
(1 * 2 + 3n * 2) = 2n + 2
(2 + 6n) = 2n + 2

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

Add '-2' to each side of the equation.
2 + -2 + 6n = 2 + -2 + 2n

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

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

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

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

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

Divide each side by '4'.
n = 0

Simplifying
n = 0