Solve for x
x=4
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2\sqrt{2x+1}-6-\left(-6\right)=-\left(-6\right)
Add 6 to both sides of the equation.
2\sqrt{2x+1}=-\left(-6\right)
Subtracting -6 from itself leaves 0.
2\sqrt{2x+1}=6
Subtract -6 from 0.
\frac{2\sqrt{2x+1}}{2}=\frac{6}{2}
Divide both sides by 2.
\sqrt{2x+1}=\frac{6}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{2x+1}=3
Divide 6 by 2.
2x+1=9
Square both sides of the equation.
2x+1-1=9-1
Subtract 1 from both sides of the equation.
2x=9-1
Subtracting 1 from itself leaves 0.
2x=8
Subtract 1 from 9.
\frac{2x}{2}=\frac{8}{2}
Divide both sides by 2.
x=\frac{8}{2}
Dividing by 2 undoes the multiplication by 2.
x=4
Divide 8 by 2.
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