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3\sqrt{2x-1}-4-\left(-4\right)=11-\left(-4\right)
Add 4 to both sides of the equation.
3\sqrt{2x-1}=11-\left(-4\right)
Subtracting -4 from itself leaves 0.
3\sqrt{2x-1}=15
Subtract -4 from 11.
\frac{3\sqrt{2x-1}}{3}=\frac{15}{3}
Divide both sides by 3.
\sqrt{2x-1}=\frac{15}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{2x-1}=5
Divide 15 by 3.
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.