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\sqrt{x-6}-4-\left(-4\right)=5-\left(-4\right)
Add 4 to both sides of the equation.
\sqrt{x-6}=5-\left(-4\right)
Subtracting -4 from itself leaves 0.
\sqrt{x-6}=9
Subtract -4 from 5.
x-6=81
Square both sides of the equation.
x-6-\left(-6\right)=81-\left(-6\right)
Add 6 to both sides of the equation.
x=81-\left(-6\right)
Subtracting -6 from itself leaves 0.
x=87
Subtract -6 from 81.