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8\sqrt{3}=3x
Multiply both sides of the equation by 24, the least common multiple of 3,8.
3x=8\sqrt{3}
Swap sides so that all variable terms are on the left hand side.
\frac{3x}{3}=\frac{8\sqrt{3}}{3}
Divide both sides by 3.
x=\frac{8\sqrt{3}}{3}
Dividing by 3 undoes the multiplication by 3.