Solve for x
x=18
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4\sqrt{x-2}+2-2=18-2
Subtract 2 from both sides of the equation.
4\sqrt{x-2}=18-2
Subtracting 2 from itself leaves 0.
4\sqrt{x-2}=16
Subtract 2 from 18.
\frac{4\sqrt{x-2}}{4}=\frac{16}{4}
Divide both sides by 4.
\sqrt{x-2}=\frac{16}{4}
Dividing by 4 undoes the multiplication by 4.
\sqrt{x-2}=4
Divide 16 by 4.
x-2=16
Square both sides of the equation.
x-2-\left(-2\right)=16-\left(-2\right)
Add 2 to both sides of the equation.
x=16-\left(-2\right)
Subtracting -2 from itself leaves 0.
x=18
Subtract -2 from 16.
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