6(n-1)=2(2n+2)

Solution for 6(n-1)=2(2n+2) equation:

Simplifying
6(n + -1) = 2(2n + 2)

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

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

Solving
-6 + 6n = 4 + 4n

Solving for variable 'n'.

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 2n = 4 + 6

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

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

Divide each side by '2'.
n = 5

Simplifying
n = 5