33=3(x-4)-8

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


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

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

Reorder the terms:
33 = -12 + -8 + 3x

Combine like terms: -12 + -8 = -20
33 = -20 + 3x

Solving
33 = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
33 + -3x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + -3x = -20 + 0
33 + -3x = -20

Add '-33' to each side of the equation.
33 + -33 + -3x = -20 + -33

Combine like terms: 33 + -33 = 0
0 + -3x = -20 + -33
-3x = -20 + -33

Combine like terms: -20 + -33 = -53
-3x = -53

Divide each side by '-3'.
x = 17.66666667

Simplifying
x = 17.66666667

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