`(x + 2)^3 - (x - 2)^3 = 12x(x - 1) - 8`

`<=>` `(x^3 + 3 . x^2 . 2 + 3 . x . 2^2 + 2^3) - (x^3 - 3 . x^2 . 2 + 3 . x . 2^2 - 2^3) = 12x^2 - 12x - 8`

`<=>` `x^3 + 6x^2 + 12x + 8 - (x^3 - 6x^2 + 12x - 8) = 12x^2 - 12x - 8`

`<=>` `x^3 + 6x^2 + 12x + 8 - x^3 + 6x^2 - 12x + 8 = 12x^2 - 12x - 8`

`<=>` `12x^2 + 16 = 12x^2 - 12x - 8`

`<=>` `12x^2 - 12x^2 + 12x = -8 - 16`

`<=>` `12x = -24`

`<=>` `x = -24 : 12`

`<=>` `x = -2`

Vậy tập nghiệm của phương trình là `S = \{-2\}`

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