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\sqrt{2}x=8
The equation is in standard form.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{8}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{8}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=4\sqrt{2}
Divide 8 by \sqrt{2}.