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2\sqrt{3}x=\frac{3}{2}
Swap sides so that all variable terms are on the left hand side.
\frac{2\sqrt{3}x}{2\sqrt{3}}=\frac{\frac{3}{2}}{2\sqrt{3}}
Divide both sides by 2\sqrt{3}.
x=\frac{\frac{3}{2}}{2\sqrt{3}}
Dividing by 2\sqrt{3} undoes the multiplication by 2\sqrt{3}.
x=\frac{\sqrt{3}}{4}
Divide \frac{3}{2} by 2\sqrt{3}.