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\sqrt{5x}-6-\left(-6\right)=-\left(-6\right)
Add 6 to both sides of the equation.
\sqrt{5x}=-\left(-6\right)
Subtracting -6 from itself leaves 0.
\sqrt{5x}=6
Subtract -6 from 0.
5x=36
Square both sides of the equation.
\frac{5x}{5}=\frac{36}{5}
Divide both sides by 5.
x=\frac{36}{5}
Dividing by 5 undoes the multiplication by 5.