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5\sqrt{x}-8-\left(-8\right)=2-\left(-8\right)
Add 8 to both sides of the equation.
5\sqrt{x}=2-\left(-8\right)
Subtracting -8 from itself leaves 0.
5\sqrt{x}=10
Subtract -8 from 2.
\frac{5\sqrt{x}}{5}=\frac{10}{5}
Divide both sides by 5.
\sqrt{x}=\frac{10}{5}
Dividing by 5 undoes the multiplication by 5.
\sqrt{x}=2
Divide 10 by 5.
x=4
Square both sides of the equation.