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\sqrt{2x-3}-6-\left(-6\right)=5-\left(-6\right)
Add 6 to both sides of the equation.
\sqrt{2x-3}=5-\left(-6\right)
Subtracting -6 from itself leaves 0.
\sqrt{2x-3}=11
Subtract -6 from 5.
2x-3=121
Square both sides of the equation.
2x-3-\left(-3\right)=121-\left(-3\right)
Add 3 to both sides of the equation.
2x=121-\left(-3\right)
Subtracting -3 from itself leaves 0.
2x=124
Subtract -3 from 121.
\frac{2x}{2}=\frac{124}{2}
Divide both sides by 2.
x=\frac{124}{2}
Dividing by 2 undoes the multiplication by 2.
x=62
Divide 124 by 2.