(n+3)=2n+6

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

Simplifying
(n + 3) = 2n + 6

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

Remove parenthesis around (3 + n)
3 + n = 2n + 6

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

Solving
3 + n = 6 + 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.
3 + n + -2n = 6 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
3 + -1n = 6 + 0
3 + -1n = 6

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

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

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

Divide each side by '-1'.
n = -3

Simplifying
n = -3