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16\sqrt{3}x=-16
Subtract 16 from both sides. Anything subtracted from zero gives its negation.
\frac{16\sqrt{3}x}{16\sqrt{3}}=-\frac{16}{16\sqrt{3}}
Divide both sides by 16\sqrt{3}.
x=-\frac{16}{16\sqrt{3}}
Dividing by 16\sqrt{3} undoes the multiplication by 16\sqrt{3}.
x=-\frac{\sqrt{3}}{3}
Divide -16 by 16\sqrt{3}.