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\sqrt{3x-4}-8-\left(-8\right)=-\left(-8\right)
Add 8 to both sides of the equation.
\sqrt{3x-4}=-\left(-8\right)
Subtracting -8 from itself leaves 0.
\sqrt{3x-4}=8
Subtract -8 from 0.
3x-4=64
Square both sides of the equation.
3x-4-\left(-4\right)=64-\left(-4\right)
Add 4 to both sides of the equation.
3x=64-\left(-4\right)
Subtracting -4 from itself leaves 0.
3x=68
Subtract -4 from 64.
\frac{3x}{3}=\frac{68}{3}
Divide both sides by 3.
x=\frac{68}{3}
Dividing by 3 undoes the multiplication by 3.