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2x+3=-2\sqrt{3}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
2x=-2\sqrt{3}-3
Subtract 3 from both sides.
\frac{2x}{2}=\frac{-2\sqrt{3}-3}{2}
Divide both sides by 2.
x=\frac{-2\sqrt{3}-3}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\sqrt{3}-\frac{3}{2}
Divide -2\sqrt{3}-3 by 2.