(x-2)3-(3-X)=24

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Solution for (x-2)3-(3-X)=24 equation:


Simplifying
(x + -2) * 3 + -1(3 + -1X) = 24

Reorder the terms:
(-2 + x) * 3 + -1(3 + -1X) = 24

Reorder the terms for easier multiplication:
3(-2 + x) + -1(3 + -1X) = 24
(-2 * 3 + x * 3) + -1(3 + -1X) = 24
(-6 + 3x) + -1(3 + -1X) = 24
-6 + 3x + (3 * -1 + -1X * -1) = 24
-6 + 3x + (-3 + 1X) = 24

Reorder the terms:
-6 + -3 + 1X + 3x = 24

Combine like terms: -6 + -3 = -9
-9 + 1X + 3x = 24

Solving
-9 + 1X + 3x = 24

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + 1X + 9 + 3x = 24 + 9

Reorder the terms:
-9 + 9 + 1X + 3x = 24 + 9

Combine like terms: -9 + 9 = 0
0 + 1X + 3x = 24 + 9
1X + 3x = 24 + 9

Combine like terms: 24 + 9 = 33
1X + 3x = 33

Add '-3x' to each side of the equation.
1X + 3x + -3x = 33 + -3x

Combine like terms: 3x + -3x = 0
1X + 0 = 33 + -3x
1X = 33 + -3x

Divide each side by '1'.
X = 33 + -3x

Simplifying
X = 33 + -3x

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