(6х - 2)^3 - 6х + 2 = 0

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To solve this equation, we first need to expand the left side of the equation:

(6x - 2)^3 = (6x - 2)(6x - 2)(6x - 2
Expand using the distributive property
= (36x^2 - 12x - 12x + 4)(6x - 2
= (36x^2 - 24x + 4)(6x - 2
= 216x^3 - 144x^2 + 24x - 72x^2 + 48x -
= 216x^3 - 216x^2 + 72x - 8

Now, we have (6x - 2)^3 = 216x^3 - 216x^2 + 72x - 8 and the equation becomes:

216x^3 - 216x^2 + 72x - 8 - 6x + 2 =
Combine like terms
216x^3 - 216x^2 + 72x - 6x - 8 + 2 =
216x^3 - 216x^2 + 66x - 6 = 0

Now, this is a cubic equation which can be solved by various methods like factoring, synthetic division, or numerical methods. Without the exact values of x, it is not possible to find the solution to this equation.