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\sqrt{x+2}-2-\left(-2\right)=-\left(-2\right)
Add 2 to both sides of the equation.
\sqrt{x+2}=-\left(-2\right)
Subtracting -2 from itself leaves 0.
\sqrt{x+2}=2
Subtract -2 from 0.
x+2=4
Square both sides of the equation.
x+2-2=4-2
Subtract 2 from both sides of the equation.
x=4-2
Subtracting 2 from itself leaves 0.
x=2
Subtract 2 from 4.