# How do you solve \frac{2}{3}x=6

How do you solve $\frac{2}{3}x=6$
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Archie Jones
We will multiply both sides by the reciprocal of the fraction on the left-hand side. This will eliminate xs

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Explanation:
$\frac{2}{3}x=6\to$ Divide both sides by $\frac{2}{3}$
$x=\frac{6}{\frac{2}{3}}$
$x=6\cdot \frac{3}{2}$
$6\cdot \frac{3}{2}=\frac{6}{1}\cdot \frac{3}{2}=\frac{9}{1}=9$
$x=9$