math-radical equations

Here's one of the questions I have problems with:
cube root of (x+2)=6th root of (9x+10)
A. -1, 6
B. [-13 +/- sqrt(193)]/2
C. 1, -6
D. [13 +/- sqrt(145)]/2

Please explain how to solve this. Should you cube both sides, or raise both to the 6th? and I get lost trying to do more than square a radical. i'd show my "work" which is basically nonsense but it's useless because I honestly have no idea how to solve this.
thanks in advance for the help. having an example of how to solve these kinds of problems would help me a lot, so if you can step by step would be great.

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  1. I did it later above

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