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\frac{4\sqrt{4x+2}}{4}=\frac{8}{4}
Divide both sides by 4.
\sqrt{4x+2}=\frac{8}{4}
Dividing by 4 undoes the multiplication by 4.
\sqrt{4x+2}=2
Divide 8 by 4.
4x+2=4
Square both sides of the equation.
4x+2-2=4-2
Subtract 2 from both sides of the equation.
4x=4-2
Subtracting 2 from itself leaves 0.
4x=2
Subtract 2 from 4.
\frac{4x}{4}=\frac{2}{4}
Divide both sides by 4.
x=\frac{2}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.