Solve for \(x: 4x^{1/3}-2 \cdot \frac{x}{x^{2/3}}=7+\sqrt[3]{x}\).
Multiply all terms by \(x^{2/3}\) (and remember that the cube root of x is the same as x1/3).
Make use of the fact that \(x^a\times x^b=x^{a+b} \)
Collect like terms together.
Solve the resulting equation for x.