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\sqrt{x+9}-2-\left(-2\right)=3-\left(-2\right)
Add 2 to both sides of the equation.
\sqrt{x+9}=3-\left(-2\right)
Subtracting -2 from itself leaves 0.
\sqrt{x+9}=5
Subtract -2 from 3.
x+9=25
Square both sides of the equation.
x+9-9=25-9
Subtract 9 from both sides of the equation.
x=25-9
Subtracting 9 from itself leaves 0.
x=16
Subtract 9 from 25.