$$(x-2\frac{7}{8})+\frac{21}{9}=3\frac{5}{78}$$
$x = \frac{375}{104} = 3\frac{63}{104} \approx 3.605769231$
$$936x-117\left(2\times 8+7\right)+104\times 21=12\left(3\times 78+5\right)$$
$$936x-117\left(16+7\right)+104\times 21=12\left(3\times 78+5\right)$$
$$936x-117\times 23+104\times 21=12\left(3\times 78+5\right)$$
$$936x-2691+104\times 21=12\left(3\times 78+5\right)$$
$$936x-2691+2184=12\left(3\times 78+5\right)$$
$$936x-507=12\left(3\times 78+5\right)$$
$$936x-507=12\left(234+5\right)$$
$$936x-507=12\times 239$$
$$936x-507=2868$$
$$936x=2868+507$$
$$936x=3375$$
$$x=\frac{3375}{936}$$
$$x=\frac{375}{104}$$
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