5n+6=2n+33

Solution for 5n+6=2n+33 equation:

Simplifying
5n + 6 = 2n + 33

Reorder the terms:
6 + 5n = 2n + 33

Reorder the terms:
6 + 5n = 33 + 2n

Solving
6 + 5n = 33 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 5n + -2n = 33 + 2n + -2n

Combine like terms: 5n + -2n = 3n
6 + 3n = 33 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 3n = 33 + 0
6 + 3n = 33

Add '-6' to each side of the equation.
6 + -6 + 3n = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 33 + -6
3n = 33 + -6

Combine like terms: 33 + -6 = 27
3n = 27

Divide each side by '3'.
n = 9

Simplifying
n = 9