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\frac{\sqrt{3}}{2}x=3\sqrt{2}
The equation is in standard form.
\frac{2\times \frac{\sqrt{3}}{2}x}{\sqrt{3}}=\frac{2\times 3\sqrt{2}}{\sqrt{3}}
Divide both sides by \frac{1}{2}\sqrt{3}.
x=\frac{2\times 3\sqrt{2}}{\sqrt{3}}
Dividing by \frac{1}{2}\sqrt{3} undoes the multiplication by \frac{1}{2}\sqrt{3}.
x=2\sqrt{6}
Divide 3\sqrt{2} by \frac{1}{2}\sqrt{3}.