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