2(n-3)=12-n

Solution for 2(n-3)=12-n equation:

Simplifying
2(n + -3) = 12 + -1n

Reorder the terms:
2(-3 + n) = 12 + -1n
(-3 * 2 + n * 2) = 12 + -1n
(-6 + 2n) = 12 + -1n

Solving
-6 + 2n = 12 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-6 + 2n + n = 12 + -1n + n

Combine like terms: 2n + n = 3n
-6 + 3n = 12 + -1n + n

Combine like terms: -1n + n = 0
-6 + 3n = 12 + 0
-6 + 3n = 12

Add '6' to each side of the equation.
-6 + 6 + 3n = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 12 + 6
3n = 12 + 6

Combine like terms: 12 + 6 = 18
3n = 18

Divide each side by '3'.
n = 6

Simplifying
n = 6