2(n+3)=n-13

Solution for 2(n+3)=n-13 equation:

Simplifying
2(n + 3) = n + -13

Reorder the terms:
2(3 + n) = n + -13
(3 * 2 + n * 2) = n + -13
(6 + 2n) = n + -13

Reorder the terms:
6 + 2n = -13 + n

Solving
6 + 2n = -13 + n

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 + 2n + -1n = -13 + n + -1n

Combine like terms: 2n + -1n = 1n
6 + 1n = -13 + n + -1n

Combine like terms: n + -1n = 0
6 + 1n = -13 + 0
6 + 1n = -13

Add '-6' to each side of the equation.
6 + -6 + 1n = -13 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = -13 + -6
1n = -13 + -6

Combine like terms: -13 + -6 = -19
1n = -19

Divide each side by '1'.
n = -19

Simplifying
n = -19