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

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

Simplifying
0.5 + (2n + 6) = 5n + -12n

Reorder the terms:
0.5 + (6 + 2n) = 5n + -12n

Remove parenthesis around (6 + 2n)
0.5 + 6 + 2n = 5n + -12n

Combine like terms: 0.5 + 6 = 6.5
6.5 + 2n = 5n + -12n

Combine like terms: 5n + -12n = -7n
6.5 + 2n = -7n

Solving
6.5 + 2n = -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
6.5 + 2n + 7n = -7n + 7n

Combine like terms: 2n + 7n = 9n
6.5 + 9n = -7n + 7n

Combine like terms: -7n + 7n = 0
6.5 + 9n = 0

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 9n = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 9n = 0 + -6.5
9n = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
9n = -6.5

Divide each side by '9'.
n = -0.7222222222

Simplifying
n = -0.7222222222