'Solve the follow equation: X^2/3= 2X -1/3'

Firstly, I changed the equation to : Cube root (X^2) = 2 * 1/X^3

I then cubed each side to get rid of the cube root : X^2 = 8 * 1/X^9

I then got rid of the fraction by multiplying by X^9: X^11 = 8(X^9)

I then divided by X^9: X^2 = 8

Meaning X = square root 8 or 2 root 2

I'm wondering if I have made an error with the powers: as the answer is x=2, which could be gotten from X^3=8.

Any suggestions?