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\sqrt{6x+1}+2-2=7-2
Subtract 2 from both sides of the equation.
\sqrt{6x+1}=7-2
Subtracting 2 from itself leaves 0.
\sqrt{6x+1}=5
Subtract 2 from 7.
6x+1=25
Square both sides of the equation.
6x+1-1=25-1
Subtract 1 from both sides of the equation.
6x=25-1
Subtracting 1 from itself leaves 0.
6x=24
Subtract 1 from 25.
\frac{6x}{6}=\frac{24}{6}
Divide both sides by 6.
x=\frac{24}{6}
Dividing by 6 undoes the multiplication by 6.
x=4
Divide 24 by 6.