you want to solve for x, so we have to start to leave x alone on one side.

since the 5 is multiplying the x^(1/3), you want to divide both sides by x.

now we're left with:

x^(1/3)=7

now to get rid of the "1/3", you would take the "x^(1/3)" and raise it to the power of 3, and of course, you want to do that to both sides, so now we get:

(x^1/3)^3=7^3

the 1/3 and the 3 cancel each other out so now we have:

x=7^3

and just solve 7^3 so:

x=343.

that's your answer.