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\sqrt{x-6}-5-\left(-5\right)=5-\left(-5\right)
Add 5 to both sides of the equation.
\sqrt{x-6}=5-\left(-5\right)
Subtracting -5 from itself leaves 0.
\sqrt{x-6}=10
Subtract -5 from 5.
x-6=100
Square both sides of the equation.
x-6-\left(-6\right)=100-\left(-6\right)
Add 6 to both sides of the equation.
x=100-\left(-6\right)
Subtracting -6 from itself leaves 0.
x=106
Subtract -6 from 100.