Answer
$5x\sqrt[3] {3}$
Work Step by Step
$6\sqrt[3] {24x^3}-2\sqrt[3] {81x^3}-x\sqrt[3] {3}$ Factor.
$6\sqrt[3] {8x^3}\sqrt[3] {3}-2\sqrt[3] {27x^3}\sqrt[3] {3}-x\sqrt[3] {3}$ Simplify.
$12x\sqrt[3] {3}-6x\sqrt[3] {3}-x\sqrt[3] {3}$ Combine like radicals.
$5x\sqrt[3] {3}$