-2(n-5)-(3n-1)=-5+(4n-1)

Solution for -2(n-5)-(3n-1)=-5+(4n-1) equation:

Simplifying
-2(n + -5) + -1(3n + -1) = -5 + (4n + -1)

Reorder the terms:
-2(-5 + n) + -1(3n + -1) = -5 + (4n + -1)
(-5 * -2 + n * -2) + -1(3n + -1) = -5 + (4n + -1)
(10 + -2n) + -1(3n + -1) = -5 + (4n + -1)

Reorder the terms:
10 + -2n + -1(-1 + 3n) = -5 + (4n + -1)
10 + -2n + (-1 * -1 + 3n * -1) = -5 + (4n + -1)
10 + -2n + (1 + -3n) = -5 + (4n + -1)

Reorder the terms:
10 + 1 + -2n + -3n = -5 + (4n + -1)

Combine like terms: 10 + 1 = 11
11 + -2n + -3n = -5 + (4n + -1)

Combine like terms: -2n + -3n = -5n
11 + -5n = -5 + (4n + -1)

Reorder the terms:
11 + -5n = -5 + (-1 + 4n)

Remove parenthesis around (-1 + 4n)
11 + -5n = -5 + -1 + 4n

Combine like terms: -5 + -1 = -6
11 + -5n = -6 + 4n

Solving
11 + -5n = -6 + 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.
11 + -5n + -4n = -6 + 4n + -4n

Combine like terms: -5n + -4n = -9n
11 + -9n = -6 + 4n + -4n

Combine like terms: 4n + -4n = 0
11 + -9n = -6 + 0
11 + -9n = -6

Add '-11' to each side of the equation.
11 + -11 + -9n = -6 + -11

Combine like terms: 11 + -11 = 0
0 + -9n = -6 + -11
-9n = -6 + -11

Combine like terms: -6 + -11 = -17
-9n = -17

Divide each side by '-9'.
n = 1.888888889

Simplifying
n = 1.888888889