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

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

Simplifying
(4n + -5) + -1(2n + -1) = 0

Reorder the terms:
(-5 + 4n) + -1(2n + -1) = 0

Remove parenthesis around (-5 + 4n)
-5 + 4n + -1(2n + -1) = 0

Reorder the terms:
-5 + 4n + -1(-1 + 2n) = 0
-5 + 4n + (-1 * -1 + 2n * -1) = 0
-5 + 4n + (1 + -2n) = 0

Reorder the terms:
-5 + 1 + 4n + -2n = 0

Combine like terms: -5 + 1 = -4
-4 + 4n + -2n = 0

Combine like terms: 4n + -2n = 2n
-4 + 2n = 0

Solving
-4 + 2n = 0

Solving for variable 'n'.

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

Add '4' to each side of the equation.
-4 + 4 + 2n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2n = 0 + 4
2n = 0 + 4

Combine like terms: 0 + 4 = 4
2n = 4

Divide each side by '2'.
n = 2

Simplifying
n = 2