(4n-3)-(2n-8)=

Solution for (4n-3)-(2n-8)= equation:

Simplifying
(4n + -3) + -1(2n + -8) = 0

Reorder the terms:
(-3 + 4n) + -1(2n + -8) = 0

Remove parenthesis around (-3 + 4n)
-3 + 4n + -1(2n + -8) = 0

Reorder the terms:
-3 + 4n + -1(-8 + 2n) = 0
-3 + 4n + (-8 * -1 + 2n * -1) = 0
-3 + 4n + (8 + -2n) = 0

Reorder the terms:
-3 + 8 + 4n + -2n = 0

Combine like terms: -3 + 8 = 5
5 + 4n + -2n = 0

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

Solving
5 + 2n = 0

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + 2n = 0 + -5

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

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

Divide each side by '2'.
n = -2.5

Simplifying
n = -2.5