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\frac{1}{2}\sqrt{3}x=1+5
Add 5 to both sides.
\frac{1}{2}\sqrt{3}x=6
Add 1 and 5 to get 6.
\frac{\sqrt{3}}{2}x=6
The equation is in standard form.
\frac{2\times \frac{\sqrt{3}}{2}x}{\sqrt{3}}=\frac{2\times 6}{\sqrt{3}}
Divide both sides by \frac{1}{2}\sqrt{3}.
x=\frac{2\times 6}{\sqrt{3}}
Dividing by \frac{1}{2}\sqrt{3} undoes the multiplication by \frac{1}{2}\sqrt{3}.
x=4\sqrt{3}
Divide 6 by \frac{1}{2}\sqrt{3}.