$$\frac{ 3 }{ 4 } x+ \frac{ 9 }{ 4 } = \frac{ 1 }{ 7 } x-5$$
$x = -\frac{203}{17} = -11\frac{16}{17} \approx -11.941176471$
$$\frac{3}{4}x+\frac{9}{4}-\frac{1}{7}x=-5$$
$$\frac{17}{28}x+\frac{9}{4}=-5$$
$$\frac{17}{28}x=-5-\frac{9}{4}$$
$$\frac{17}{28}x=-\frac{20}{4}-\frac{9}{4}$$
$$\frac{17}{28}x=\frac{-20-9}{4}$$
$$\frac{17}{28}x=-\frac{29}{4}$$
$$x=-\frac{29}{4}\times \frac{28}{17}$$
$$x=\frac{-29\times 28}{4\times 17}$$
$$x=\frac{-812}{68}$$
$$x=-\frac{203}{17}$$
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