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\sqrt{38x-24}=5
Swap sides so that all variable terms are on the left hand side.
38x-24=25
Square both sides of the equation.
38x-24-\left(-24\right)=25-\left(-24\right)
Add 24 to both sides of the equation.
38x=25-\left(-24\right)
Subtracting -24 from itself leaves 0.
38x=49
Subtract -24 from 25.
\frac{38x}{38}=\frac{49}{38}
Divide both sides by 38.
x=\frac{49}{38}
Dividing by 38 undoes the multiplication by 38.