3n+6=2n-(n+6)

Solution for 3n+6=2n-(n+6) equation:

Simplifying
3n + 6 = 2n + -1(n + 6)

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

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

Reorder the terms:
6 + 3n = -6 + 2n + -1n

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

Solving
6 + 3n = -6 + 1n

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 = -6 + 1n + -1n

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

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

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

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

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

Divide each side by '2'.
n = -6

Simplifying
n = -6