2(n-6)-(6-5n)=6n

Solution for 2(n-6)-(6-5n)=6n equation:

Simplifying
2(n + -6) + -1(6 + -5n) = 6n

Reorder the terms:
2(-6 + n) + -1(6 + -5n) = 6n
(-6 * 2 + n * 2) + -1(6 + -5n) = 6n
(-12 + 2n) + -1(6 + -5n) = 6n
-12 + 2n + (6 * -1 + -5n * -1) = 6n
-12 + 2n + (-6 + 5n) = 6n

Reorder the terms:
-12 + -6 + 2n + 5n = 6n

Combine like terms: -12 + -6 = -18
-18 + 2n + 5n = 6n

Combine like terms: 2n + 5n = 7n
-18 + 7n = 6n

Solving
-18 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-18 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-18 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-18 + 1n = 0

Add '18' to each side of the equation.
-18 + 18 + 1n = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 1n = 0 + 18
1n = 0 + 18

Combine like terms: 0 + 18 = 18
1n = 18

Divide each side by '1'.
n = 18

Simplifying
n = 18