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\sqrt{2x-1}+3-3=8-3
Subtract 3 from both sides of the equation.
\sqrt{2x-1}=8-3
Subtracting 3 from itself leaves 0.
\sqrt{2x-1}=5
Subtract 3 from 8.
2x-1=25
Square both sides of the equation.
2x-1-\left(-1\right)=25-\left(-1\right)
Add 1 to both sides of the equation.
2x=25-\left(-1\right)
Subtracting -1 from itself leaves 0.
2x=26
Subtract -1 from 25.
\frac{2x}{2}=\frac{26}{2}
Divide both sides by 2.
x=\frac{26}{2}
Dividing by 2 undoes the multiplication by 2.
x=13
Divide 26 by 2.