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\frac{2\sqrt{x}}{2}=\frac{2\sqrt{2}}{2}
Divide both sides by 2.
\sqrt{x}=\frac{2\sqrt{2}}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{x}=\sqrt{2}
Divide 2\sqrt{2} by 2.
x=2
Square both sides of the equation.