Solve for x: \(4x^{1/3}-2 \cdot \frac{x}{x^{2/3}}=7+\sqrt[3]{x}\)
Solve for x: 2 x^(1/3) = x^(1/3) + 7
Subtract x^(1/3) from both sides: x^(1/3) = 7
Raise both sides to the power of three: x = 343