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2\sqrt{x}-\frac{1}{2}-\left(-\frac{1}{2}\right)=2-\left(-\frac{1}{2}\right)
Add \frac{1}{2} to both sides of the equation.
2\sqrt{x}=2-\left(-\frac{1}{2}\right)
Subtracting -\frac{1}{2} from itself leaves 0.
2\sqrt{x}=\frac{5}{2}
Subtract -\frac{1}{2} from 2.
\frac{2\sqrt{x}}{2}=\frac{\frac{5}{2}}{2}
Divide both sides by 2.
\sqrt{x}=\frac{\frac{5}{2}}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{x}=\frac{5}{4}
Divide \frac{5}{2} by 2.
x=\frac{25}{16}
Square both sides of the equation.