33=-3(21-x)+3(x-4)

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Solution for 33=-3(21-x)+3(x-4) equation:


Simplifying
33 = -3(21 + -1x) + 3(x + -4)
33 = (21 * -3 + -1x * -3) + 3(x + -4)
33 = (-63 + 3x) + 3(x + -4)

Reorder the terms:
33 = -63 + 3x + 3(-4 + x)
33 = -63 + 3x + (-4 * 3 + x * 3)
33 = -63 + 3x + (-12 + 3x)

Reorder the terms:
33 = -63 + -12 + 3x + 3x

Combine like terms: -63 + -12 = -75
33 = -75 + 3x + 3x

Combine like terms: 3x + 3x = 6x
33 = -75 + 6x

Solving
33 = -75 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
33 + -6x = -75 + 6x + -6x

Combine like terms: 6x + -6x = 0
33 + -6x = -75 + 0
33 + -6x = -75

Add '-33' to each side of the equation.
33 + -33 + -6x = -75 + -33

Combine like terms: 33 + -33 = 0
0 + -6x = -75 + -33
-6x = -75 + -33

Combine like terms: -75 + -33 = -108
-6x = -108

Divide each side by '-6'.
x = 18

Simplifying
x = 18

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