0.50(2n+6)=5n-12-n

Solution for 0.50(2n+6)=5n-12-n equation:

Simplifying
0.50(2n + 6) = 5n + -12 + -1n

Reorder the terms:
0.50(6 + 2n) = 5n + -12 + -1n
(6 * 0.50 + 2n * 0.50) = 5n + -12 + -1n
(3 + 1n) = 5n + -12 + -1n

Reorder the terms:
3 + 1n = -12 + 5n + -1n

Combine like terms: 5n + -1n = 4n
3 + 1n = -12 + 4n

Solving
3 + 1n = -12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
3 + 1n + -4n = -12 + 4n + -4n

Combine like terms: 1n + -4n = -3n
3 + -3n = -12 + 4n + -4n

Combine like terms: 4n + -4n = 0
3 + -3n = -12 + 0
3 + -3n = -12

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

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

Combine like terms: -12 + -3 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5