13x+6=22x+33

Solution for 13x+6=22x+33 equation:

Simplifying
13x + 6 = 22x + 33

Reorder the terms:
6 + 13x = 22x + 33

Reorder the terms:
6 + 13x = 33 + 22x

Solving
6 + 13x = 33 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
6 + 13x + -22x = 33 + 22x + -22x

Combine like terms: 13x + -22x = -9x
6 + -9x = 33 + 22x + -22x

Combine like terms: 22x + -22x = 0
6 + -9x = 33 + 0
6 + -9x = 33

Add '-6' to each side of the equation.
6 + -6 + -9x = 33 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 33 + -6
-9x = 33 + -6

Combine like terms: 33 + -6 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3