2(2n+3)-5=33

Solution for 2(2n+3)-5=33 equation:

Simplifying
2(2n + 3) + -5 = 33

Reorder the terms:
2(3 + 2n) + -5 = 33
(3 * 2 + 2n * 2) + -5 = 33
(6 + 4n) + -5 = 33

Reorder the terms:
6 + -5 + 4n = 33

Combine like terms: 6 + -5 = 1
1 + 4n = 33

Solving
1 + 4n = 33

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 + 4n = 33 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = 33 + -1
4n = 33 + -1

Combine like terms: 33 + -1 = 32
4n = 32

Divide each side by '4'.
n = 8

Simplifying
n = 8