-2n+5=6(-2n+1)-(6+2n)

Solution for -2n+5=6(-2n+1)-(6+2n) equation:

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

Reorder the terms:
5 + -2n = 6(-2n + 1) + -1(6 + 2n)

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

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

Combine like terms: 6 + -6 = 0
5 + -2n = 0 + -12n + -2n
5 + -2n = -12n + -2n

Combine like terms: -12n + -2n = -14n
5 + -2n = -14n

Solving
5 + -2n = -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
5 + -2n + 14n = -14n + 14n

Combine like terms: -2n + 14n = 12n
5 + 12n = -14n + 14n

Combine like terms: -14n + 14n = 0
5 + 12n = 0

Add '-5' to each side of the equation.
5 + -5 + 12n = 0 + -5

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

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

Divide each side by '12'.
n = -0.4166666667

Simplifying
n = -0.4166666667