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2=\sqrt{2}x
Multiply \sqrt{2} and \sqrt{2} to get 2.
\sqrt{2}x=2
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{2}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{2}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=\sqrt{2}
Divide 2 by \sqrt{2}.