5[2n+8]+3=33

Solution for 5[2n+8]+3=33 equation:

Simplifying
5[2n + 8] + 3 = 33

Reorder the terms:
5[8 + 2n] + 3 = 33
[8 * 5 + 2n * 5] + 3 = 33
[40 + 10n] + 3 = 33

Reorder the terms:
40 + 3 + 10n = 33

Combine like terms: 40 + 3 = 43
43 + 10n = 33

Solving
43 + 10n = 33

Solving for variable 'n'.

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

Add '-43' to each side of the equation.
43 + -43 + 10n = 33 + -43

Combine like terms: 43 + -43 = 0
0 + 10n = 33 + -43
10n = 33 + -43

Combine like terms: 33 + -43 = -10
10n = -10

Divide each side by '10'.
n = -1

Simplifying
n = -1