Solve for x
x = \frac{57}{5} = 11\frac{2}{5} = 11.4
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\sqrt{10x-14}-10-\left(-10\right)=-\left(-10\right)
Add 10 to both sides of the equation.
\sqrt{10x-14}=-\left(-10\right)
Subtracting -10 from itself leaves 0.
\sqrt{10x-14}=10
Subtract -10 from 0.
10x-14=100
Square both sides of the equation.
10x-14-\left(-14\right)=100-\left(-14\right)
Add 14 to both sides of the equation.
10x=100-\left(-14\right)
Subtracting -14 from itself leaves 0.
10x=114
Subtract -14 from 100.
\frac{10x}{10}=\frac{114}{10}
Divide both sides by 10.
x=\frac{114}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{57}{5}
Reduce the fraction \frac{114}{10} to lowest terms by extracting and canceling out 2.
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