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\left(-\sqrt{3}\right)x-3=3
Multiply both sides of the equation by 3.
\left(-\sqrt{3}\right)x=3+3
Add 3 to both sides.
\left(-\sqrt{3}\right)x=6
Add 3 and 3 to get 6.
\frac{\left(-\sqrt{3}\right)x}{-\sqrt{3}}=\frac{6}{-\sqrt{3}}
Divide both sides by -\sqrt{3}.
x=\frac{6}{-\sqrt{3}}
Dividing by -\sqrt{3} undoes the multiplication by -\sqrt{3}.
x=-2\sqrt{3}
Divide 6 by -\sqrt{3}.