Solve for v
v=8
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\sqrt{2v-7}-2=1
Swap sides so that all variable terms are on the left hand side.
\sqrt{2v-7}=1+2
Add 2 to both sides.
\sqrt{2v-7}=3
Add 1 and 2 to get 3.
2v-7=9
Square both sides of the equation.
2v-7-\left(-7\right)=9-\left(-7\right)
Add 7 to both sides of the equation.
2v=9-\left(-7\right)
Subtracting -7 from itself leaves 0.
2v=16
Subtract -7 from 9.
\frac{2v}{2}=\frac{16}{2}
Divide both sides by 2.
v=\frac{16}{2}
Dividing by 2 undoes the multiplication by 2.
v=8
Divide 16 by 2.
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