3(n-2)=n+2

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

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

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

Reorder the terms:
-6 + 3n = 2 + n

Solving
-6 + 3n = 2 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-6 + 3n + -1n = 2 + n + -1n

Combine like terms: 3n + -1n = 2n
-6 + 2n = 2 + n + -1n

Combine like terms: n + -1n = 0
-6 + 2n = 2 + 0
-6 + 2n = 2

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

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

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

Divide each side by '2'.
n = 4

Simplifying
n = 4