$$\frac{m-5}{2}-\frac{5-3}{5}=\frac{1}{2}$$
$m = \frac{34}{5} = 6\frac{4}{5} = 6.8$
$$5\left(m-5\right)-2\left(5-3\right)=5$$
$$5m-25-2\left(5-3\right)=5$$
$$5m-25-2\times 2=5$$
$$5m-25-4=5$$
$$5m-29=5$$
$$5m=5+29$$
$$5m=34$$
$$m=\frac{34}{5}$$
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