2(n+3)=5n-12

Solution for 2(n+3)=5n-12 equation:

Simplifying
2(n + 3) = 5n + -12

Reorder the terms:
2(3 + n) = 5n + -12
(3 * 2 + n * 2) = 5n + -12
(6 + 2n) = 5n + -12

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

Solving
6 + 2n = -12 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 2n + -5n = -12 + 5n + -5n

Combine like terms: 2n + -5n = -3n
6 + -3n = -12 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -3n = -12 + 0
6 + -3n = -12

Add '-6' to each side of the equation.
6 + -6 + -3n = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = -12 + -6
-3n = -12 + -6

Combine like terms: -12 + -6 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6