6-2(4x+9)-33=x

Solution for 6-2(4x+9)-33=x equation:

Simplifying
6 + -2(4x + 9) + -33 = x

Reorder the terms:
6 + -2(9 + 4x) + -33 = x
6 + (9 * -2 + 4x * -2) + -33 = x
6 + (-18 + -8x) + -33 = x

Reorder the terms:
6 + -18 + -33 + -8x = x

Combine like terms: 6 + -18 = -12
-12 + -33 + -8x = x

Combine like terms: -12 + -33 = -45
-45 + -8x = x

Solving
-45 + -8x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-45 + -8x + -1x = x + -1x

Combine like terms: -8x + -1x = -9x
-45 + -9x = x + -1x

Combine like terms: x + -1x = 0
-45 + -9x = 0

Add '45' to each side of the equation.
-45 + 45 + -9x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -9x = 0 + 45
-9x = 0 + 45

Combine like terms: 0 + 45 = 45
-9x = 45

Divide each side by '-9'.
x = -5

Simplifying
x = -5