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

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

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

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

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

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

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

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

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

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

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

Divide each side by '4'.
n = 2

Simplifying
n = 2