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4\sqrt{3}x=6
The equation is in standard form.
\frac{4\sqrt{3}x}{4\sqrt{3}}=\frac{6}{4\sqrt{3}}
Divide both sides by 4\sqrt{3}.
x=\frac{6}{4\sqrt{3}}
Dividing by 4\sqrt{3} undoes the multiplication by 4\sqrt{3}.
x=\frac{\sqrt{3}}{2}
Divide 6 by 4\sqrt{3}.