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\sqrt{2x}=16\sqrt{2}
Swap sides so that all variable terms are on the left hand side.
2x=512
Square both sides of the equation.
\frac{2x}{2}=\frac{512}{2}
Divide both sides by 2.
x=\frac{512}{2}
Dividing by 2 undoes the multiplication by 2.
x=256
Divide 512 by 2.