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\sqrt{5x-5}-8-\left(-8\right)=-3-\left(-8\right)
Add 8 to both sides of the equation.
\sqrt{5x-5}=-3-\left(-8\right)
Subtracting -8 from itself leaves 0.
\sqrt{5x-5}=5
Subtract -8 from -3.
5x-5=25
Square both sides of the equation.
5x-5-\left(-5\right)=25-\left(-5\right)
Add 5 to both sides of the equation.
5x=25-\left(-5\right)
Subtracting -5 from itself leaves 0.
5x=30
Subtract -5 from 25.
\frac{5x}{5}=\frac{30}{5}
Divide both sides by 5.
x=\frac{30}{5}
Dividing by 5 undoes the multiplication by 5.
x=6
Divide 30 by 5.