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4\sqrt{6}x=\sqrt{3}
The equation is in standard form.
\frac{4\sqrt{6}x}{4\sqrt{6}}=\frac{\sqrt{3}}{4\sqrt{6}}
Divide both sides by 4\sqrt{6}.
x=\frac{\sqrt{3}}{4\sqrt{6}}
Dividing by 4\sqrt{6} undoes the multiplication by 4\sqrt{6}.
x=\frac{\sqrt{2}}{8}
Divide \sqrt{3} by 4\sqrt{6}.