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\sqrt{x-6}+2-2=10-2
Subtract 2 from both sides of the equation.
\sqrt{x-6}=10-2
Subtracting 2 from itself leaves 0.
\sqrt{x-6}=8
Subtract 2 from 10.
x-6=64
Square both sides of the equation.
x-6-\left(-6\right)=64-\left(-6\right)
Add 6 to both sides of the equation.
x=64-\left(-6\right)
Subtracting -6 from itself leaves 0.
x=70
Subtract -6 from 64.