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\sqrt{x+2}-3-\left(-3\right)=8-\left(-3\right)
Add 3 to both sides of the equation.
\sqrt{x+2}=8-\left(-3\right)
Subtracting -3 from itself leaves 0.
\sqrt{x+2}=11
Subtract -3 from 8.
x+2=121
Square both sides of the equation.
x+2-2=121-2
Subtract 2 from both sides of the equation.
x=121-2
Subtracting 2 from itself leaves 0.
x=119
Subtract 2 from 121.