(x-1)3+(2x-4)3+(5-3x)3=0

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Solution for (x-1)3+(2x-4)3+(5-3x)3=0 equation:


Simplifying
(x + -1) * 3 + (2x + -4) * 3 + (5 + -3x) * 3 = 0

Reorder the terms:
(-1 + x) * 3 + (2x + -4) * 3 + (5 + -3x) * 3 = 0

Reorder the terms for easier multiplication:
3(-1 + x) + (2x + -4) * 3 + (5 + -3x) * 3 = 0
(-1 * 3 + x * 3) + (2x + -4) * 3 + (5 + -3x) * 3 = 0
(-3 + 3x) + (2x + -4) * 3 + (5 + -3x) * 3 = 0

Reorder the terms:
-3 + 3x + (-4 + 2x) * 3 + (5 + -3x) * 3 = 0

Reorder the terms for easier multiplication:
-3 + 3x + 3(-4 + 2x) + (5 + -3x) * 3 = 0
-3 + 3x + (-4 * 3 + 2x * 3) + (5 + -3x) * 3 = 0
-3 + 3x + (-12 + 6x) + (5 + -3x) * 3 = 0

Reorder the terms for easier multiplication:
-3 + 3x + -12 + 6x + 3(5 + -3x) = 0
-3 + 3x + -12 + 6x + (5 * 3 + -3x * 3) = 0
-3 + 3x + -12 + 6x + (15 + -9x) = 0

Reorder the terms:
-3 + -12 + 15 + 3x + 6x + -9x = 0

Combine like terms: -3 + -12 = -15
-15 + 15 + 3x + 6x + -9x = 0

Combine like terms: -15 + 15 = 0
0 + 3x + 6x + -9x = 0
3x + 6x + -9x = 0

Combine like terms: 3x + 6x = 9x
9x + -9x = 0

Combine like terms: 9x + -9x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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