9x-42=33x+42

Solution for 9x-42=33x+42 equation:

Simplifying
9x + -42 = 33x + 42

Reorder the terms:
-42 + 9x = 33x + 42

Reorder the terms:
-42 + 9x = 42 + 33x

Solving
-42 + 9x = 42 + 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.
-42 + 9x + -33x = 42 + 33x + -33x

Combine like terms: 9x + -33x = -24x
-42 + -24x = 42 + 33x + -33x

Combine like terms: 33x + -33x = 0
-42 + -24x = 42 + 0
-42 + -24x = 42

Add '42' to each side of the equation.
-42 + 42 + -24x = 42 + 42

Combine like terms: -42 + 42 = 0
0 + -24x = 42 + 42
-24x = 42 + 42

Combine like terms: 42 + 42 = 84
-24x = 84

Divide each side by '-24'.
x = -3.5

Simplifying
x = -3.5