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-2\sqrt{3}x=1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
\left(-2\sqrt{3}\right)x=1
The equation is in standard form.
\frac{\left(-2\sqrt{3}\right)x}{-2\sqrt{3}}=\frac{1}{-2\sqrt{3}}
Divide both sides by -2\sqrt{3}.
x=\frac{1}{-2\sqrt{3}}
Dividing by -2\sqrt{3} undoes the multiplication by -2\sqrt{3}.
x=-\frac{\sqrt{3}}{6}
Divide 1 by -2\sqrt{3}.