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\sqrt{x-3}-4-\left(-4\right)=-\left(-4\right)
Add 4 to both sides of the equation.
\sqrt{x-3}=-\left(-4\right)
Subtracting -4 from itself leaves 0.
\sqrt{x-3}=4
Subtract -4 from 0.
x-3=16
Square both sides of the equation.
x-3-\left(-3\right)=16-\left(-3\right)
Add 3 to both sides of the equation.
x=16-\left(-3\right)
Subtracting -3 from itself leaves 0.
x=19
Subtract -3 from 16.