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\sqrt{2x+3}-7-\left(-7\right)=-\left(-7\right)
Add 7 to both sides of the equation.
\sqrt{2x+3}=-\left(-7\right)
Subtracting -7 from itself leaves 0.
\sqrt{2x+3}=7
Subtract -7 from 0.
2x+3=49
Square both sides of the equation.
2x+3-3=49-3
Subtract 3 from both sides of the equation.
2x=49-3
Subtracting 3 from itself leaves 0.
2x=46
Subtract 3 from 49.
\frac{2x}{2}=\frac{46}{2}
Divide both sides by 2.
x=\frac{46}{2}
Dividing by 2 undoes the multiplication by 2.
x=23
Divide 46 by 2.