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

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

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

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

Combine like terms: 6 + 6 = 12
12 + -1n = 2(n + 5)

Reorder the terms:
12 + -1n = 2(5 + n)
12 + -1n = (5 * 2 + n * 2)
12 + -1n = (10 + 2n)

Solving
12 + -1n = 10 + 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.
12 + -1n + -2n = 10 + 2n + -2n

Combine like terms: -1n + -2n = -3n
12 + -3n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + -3n = 10 + 0
12 + -3n = 10

Add '-12' to each side of the equation.
12 + -12 + -3n = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -3n = 10 + -12
-3n = 10 + -12

Combine like terms: 10 + -12 = -2
-3n = -2

Divide each side by '-3'.
n = 0.6666666667

Simplifying
n = 0.6666666667