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\sqrt{81x-30}=80
Swap sides so that all variable terms are on the left hand side.
81x-30=6400
Square both sides of the equation.
81x-30-\left(-30\right)=6400-\left(-30\right)
Add 30 to both sides of the equation.
81x=6400-\left(-30\right)
Subtracting -30 from itself leaves 0.
81x=6430
Subtract -30 from 6400.
\frac{81x}{81}=\frac{6430}{81}
Divide both sides by 81.
x=\frac{6430}{81}
Dividing by 81 undoes the multiplication by 81.