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\sqrt{x-9}-5-\left(-5\right)=4-\left(-5\right)
Add 5 to both sides of the equation.
\sqrt{x-9}=4-\left(-5\right)
Subtracting -5 from itself leaves 0.
\sqrt{x-9}=9
Subtract -5 from 4.
x-9=81
Square both sides of the equation.
x-9-\left(-9\right)=81-\left(-9\right)
Add 9 to both sides of the equation.
x=81-\left(-9\right)
Subtracting -9 from itself leaves 0.
x=90
Subtract -9 from 81.