Solve for X

(3x+2)^(1/3)=-2

I multiplied (3x+2)^(1/3) by the power of to cancel the 1/3
I put -2 to the power of 3 as well getting -8
After I subtracted 2, getting me -6
dividing by 3x, I got -2 as my answer.

Is this correct?

(3x+2)^(1/3) = -2.

Cube both sides:
3x+2 = -8.
3x = -10.
X = -10/3.