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4\sqrt{2}x=16
The equation is in standard form.
\frac{4\sqrt{2}x}{4\sqrt{2}}=\frac{16}{4\sqrt{2}}
Divide both sides by 4\sqrt{2}.
x=\frac{16}{4\sqrt{2}}
Dividing by 4\sqrt{2} undoes the multiplication by 4\sqrt{2}.
x=2\sqrt{2}
Divide 16 by 4\sqrt{2}.