-2(n-5)-(3n-1)=-6+(2n-1)

Solution for -2(n-5)-(3n-1)=-6+(2n-1) equation:

Simplifying
-2(n + -5) + -1(3n + -1) = -6 + (2n + -1)

Reorder the terms:
-2(-5 + n) + -1(3n + -1) = -6 + (2n + -1)
(-5 * -2 + n * -2) + -1(3n + -1) = -6 + (2n + -1)
(10 + -2n) + -1(3n + -1) = -6 + (2n + -1)

Reorder the terms:
10 + -2n + -1(-1 + 3n) = -6 + (2n + -1)
10 + -2n + (-1 * -1 + 3n * -1) = -6 + (2n + -1)
10 + -2n + (1 + -3n) = -6 + (2n + -1)

Reorder the terms:
10 + 1 + -2n + -3n = -6 + (2n + -1)

Combine like terms: 10 + 1 = 11
11 + -2n + -3n = -6 + (2n + -1)

Combine like terms: -2n + -3n = -5n
11 + -5n = -6 + (2n + -1)

Reorder the terms:
11 + -5n = -6 + (-1 + 2n)

Remove parenthesis around (-1 + 2n)
11 + -5n = -6 + -1 + 2n

Combine like terms: -6 + -1 = -7
11 + -5n = -7 + 2n

Solving
11 + -5n = -7 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
11 + -5n + -2n = -7 + 2n + -2n

Combine like terms: -5n + -2n = -7n
11 + -7n = -7 + 2n + -2n

Combine like terms: 2n + -2n = 0
11 + -7n = -7 + 0
11 + -7n = -7

Add '-11' to each side of the equation.
11 + -11 + -7n = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -7n = -7 + -11
-7n = -7 + -11

Combine like terms: -7 + -11 = -18
-7n = -18

Divide each side by '-7'.
n = 2.571428571

Simplifying
n = 2.571428571