33-3x=-5(-8x+2)

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Solution for 33-3x=-5(-8x+2) equation:


Simplifying
33 + -3x = -5(-8x + 2)

Reorder the terms:
33 + -3x = -5(2 + -8x)
33 + -3x = (2 * -5 + -8x * -5)
33 + -3x = (-10 + 40x)

Solving
33 + -3x = -10 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
33 + -3x + -40x = -10 + 40x + -40x

Combine like terms: -3x + -40x = -43x
33 + -43x = -10 + 40x + -40x

Combine like terms: 40x + -40x = 0
33 + -43x = -10 + 0
33 + -43x = -10

Add '-33' to each side of the equation.
33 + -33 + -43x = -10 + -33

Combine like terms: 33 + -33 = 0
0 + -43x = -10 + -33
-43x = -10 + -33

Combine like terms: -10 + -33 = -43
-43x = -43

Divide each side by '-43'.
x = 1

Simplifying
x = 1

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