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6\sqrt{x}-3-\left(-3\right)=15-\left(-3\right)
Add 3 to both sides of the equation.
6\sqrt{x}=15-\left(-3\right)
Subtracting -3 from itself leaves 0.
6\sqrt{x}=18
Subtract -3 from 15.
\frac{6\sqrt{x}}{6}=\frac{18}{6}
Divide both sides by 6.
\sqrt{x}=\frac{18}{6}
Dividing by 6 undoes the multiplication by 6.
\sqrt{x}=3
Divide 18 by 6.
x=9
Square both sides of the equation.