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\sqrt{x-5}+2-2=5-2
Subtract 2 from both sides of the equation.
\sqrt{x-5}=5-2
Subtracting 2 from itself leaves 0.
\sqrt{x-5}=3
Subtract 2 from 5.
x-5=9
Square both sides of the equation.
x-5-\left(-5\right)=9-\left(-5\right)
Add 5 to both sides of the equation.
x=9-\left(-5\right)
Subtracting -5 from itself leaves 0.
x=14
Subtract -5 from 9.