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\sqrt{x-2}-4-\left(-4\right)=-\left(-4\right)
Add 4 to both sides of the equation.
\sqrt{x-2}=-\left(-4\right)
Subtracting -4 from itself leaves 0.
\sqrt{x-2}=4
Subtract -4 from 0.
x-2=16
Square both sides of the equation.
x-2-\left(-2\right)=16-\left(-2\right)
Add 2 to both sides of the equation.
x=16-\left(-2\right)
Subtracting -2 from itself leaves 0.
x=18
Subtract -2 from 16.