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\sqrt{2x}+2-2=4-2
Subtract 2 from both sides of the equation.
\sqrt{2x}=4-2
Subtracting 2 from itself leaves 0.
\sqrt{2x}=2
Subtract 2 from 4.
2x=4
Square both sides of the equation.
\frac{2x}{2}=\frac{4}{2}
Divide both sides by 2.
x=\frac{4}{2}
Dividing by 2 undoes the multiplication by 2.
x=2
Divide 4 by 2.