(5n-9)-(2n-8)=

Solution for (5n-9)-(2n-8)= equation:

Simplifying
(5n + -9) + -1(2n + -8) = 0

Reorder the terms:
(-9 + 5n) + -1(2n + -8) = 0

Remove parenthesis around (-9 + 5n)
-9 + 5n + -1(2n + -8) = 0

Reorder the terms:
-9 + 5n + -1(-8 + 2n) = 0
-9 + 5n + (-8 * -1 + 2n * -1) = 0
-9 + 5n + (8 + -2n) = 0

Reorder the terms:
-9 + 8 + 5n + -2n = 0

Combine like terms: -9 + 8 = -1
-1 + 5n + -2n = 0

Combine like terms: 5n + -2n = 3n
-1 + 3n = 0

Solving
-1 + 3n = 0

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 3n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3n = 0 + 1
3n = 0 + 1

Combine like terms: 0 + 1 = 1
3n = 1

Divide each side by '3'.
n = 0.3333333333

Simplifying
n = 0.3333333333