8n-3(n-1)=-5n+33

Solution for 8n-3(n-1)=-5n+33 equation:

Simplifying
8n + -3(n + -1) = -5n + 33

Reorder the terms:
8n + -3(-1 + n) = -5n + 33
8n + (-1 * -3 + n * -3) = -5n + 33
8n + (3 + -3n) = -5n + 33

Reorder the terms:
3 + 8n + -3n = -5n + 33

Combine like terms: 8n + -3n = 5n
3 + 5n = -5n + 33

Reorder the terms:
3 + 5n = 33 + -5n

Solving
3 + 5n = 33 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
3 + 5n + 5n = 33 + -5n + 5n

Combine like terms: 5n + 5n = 10n
3 + 10n = 33 + -5n + 5n

Combine like terms: -5n + 5n = 0
3 + 10n = 33 + 0
3 + 10n = 33

Add '-3' to each side of the equation.
3 + -3 + 10n = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 10n = 33 + -3
10n = 33 + -3

Combine like terms: 33 + -3 = 30
10n = 30

Divide each side by '10'.
n = 3

Simplifying
n = 3