6-2x=7x+33

Solution for 6-2x=7x+33 equation:

Simplifying
6 + -2x = 7x + 33

Reorder the terms:
6 + -2x = 33 + 7x

Solving
6 + -2x = 33 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -2x + -7x = 33 + 7x + -7x

Combine like terms: -2x + -7x = -9x
6 + -9x = 33 + 7x + -7x

Combine like terms: 7x + -7x = 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