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-x=\sqrt{2}-\sqrt{3}
Subtract \sqrt{3} from both sides.
\frac{-x}{-1}=\frac{\sqrt{2}-\sqrt{3}}{-1}
Divide both sides by -1.
x=\frac{\sqrt{2}-\sqrt{3}}{-1}
Dividing by -1 undoes the multiplication by -1.
x=\sqrt{3}-\sqrt{2}
Divide \sqrt{2}-\sqrt{3} by -1.