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5\sqrt{x}-65-\left(-65\right)=12-\left(-65\right)
Add 65 to both sides of the equation.
5\sqrt{x}=12-\left(-65\right)
Subtracting -65 from itself leaves 0.
5\sqrt{x}=77
Subtract -65 from 12.
\frac{5\sqrt{x}}{5}=\frac{77}{5}
Divide both sides by 5.
\sqrt{x}=\frac{77}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{5929}{25}
Square both sides of the equation.