$$6x-19/2=3x-10/3$$
$x = \frac{37}{18} = 2\frac{1}{18} \approx 2.055555556$
$$6x-\frac{19}{2}-3x=-\frac{10}{3}$$
$$3x-\frac{19}{2}=-\frac{10}{3}$$
$$3x=-\frac{10}{3}+\frac{19}{2}$$
$$3x=-\frac{20}{6}+\frac{57}{6}$$
$$3x=\frac{-20+57}{6}$$
$$3x=\frac{37}{6}$$
$$x=\frac{\frac{37}{6}}{3}$$
$$x=\frac{37}{6\times 3}$$
$$x=\frac{37}{18}$$
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