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