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4\sqrt{3}x=-4\sqrt{5}
Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.
\frac{4\sqrt{3}x}{4\sqrt{3}}=-\frac{4\sqrt{5}}{4\sqrt{3}}
Divide both sides by 4\sqrt{3}.
x=-\frac{4\sqrt{5}}{4\sqrt{3}}
Dividing by 4\sqrt{3} undoes the multiplication by 4\sqrt{3}.
x=-\frac{\sqrt{15}}{3}
Divide -4\sqrt{5} by 4\sqrt{3}.