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