7x+42=22x-33

Solution for 7x+42=22x-33 equation:

Simplifying
7x + 42 = 22x + -33

Reorder the terms:
42 + 7x = 22x + -33

Reorder the terms:
42 + 7x = -33 + 22x

Solving
42 + 7x = -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.
42 + 7x + -22x = -33 + 22x + -22x

Combine like terms: 7x + -22x = -15x
42 + -15x = -33 + 22x + -22x

Combine like terms: 22x + -22x = 0
42 + -15x = -33 + 0
42 + -15x = -33

Add '-42' to each side of the equation.
42 + -42 + -15x = -33 + -42

Combine like terms: 42 + -42 = 0
0 + -15x = -33 + -42
-15x = -33 + -42

Combine like terms: -33 + -42 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5