9x+6=33x-6

Solution for 9x+6=33x-6 equation:

Simplifying
9x + 6 = 33x + -6

Reorder the terms:
6 + 9x = 33x + -6

Reorder the terms:
6 + 9x = -6 + 33x

Solving
6 + 9x = -6 + 33x

Solving for variable 'x'.

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

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

Combine like terms: 9x + -33x = -24x
6 + -24x = -6 + 33x + -33x

Combine like terms: 33x + -33x = 0
6 + -24x = -6 + 0
6 + -24x = -6

Add '-6' to each side of the equation.
6 + -6 + -24x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -24x = -6 + -6
-24x = -6 + -6

Combine like terms: -6 + -6 = -12
-24x = -12

Divide each side by '-24'.
x = 0.5

Simplifying
x = 0.5