33-x=-3(4x+8)-8x

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Solution for 33-x=-3(4x+8)-8x equation:


Simplifying
33 + -1x = -3(4x + 8) + -8x

Reorder the terms:
33 + -1x = -3(8 + 4x) + -8x
33 + -1x = (8 * -3 + 4x * -3) + -8x
33 + -1x = (-24 + -12x) + -8x

Combine like terms: -12x + -8x = -20x
33 + -1x = -24 + -20x

Solving
33 + -1x = -24 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
33 + -1x + 20x = -24 + -20x + 20x

Combine like terms: -1x + 20x = 19x
33 + 19x = -24 + -20x + 20x

Combine like terms: -20x + 20x = 0
33 + 19x = -24 + 0
33 + 19x = -24

Add '-33' to each side of the equation.
33 + -33 + 19x = -24 + -33

Combine like terms: 33 + -33 = 0
0 + 19x = -24 + -33
19x = -24 + -33

Combine like terms: -24 + -33 = -57
19x = -57

Divide each side by '19'.
x = -3

Simplifying
x = -3

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