$$\frac{5-9x}{6}=-2$$
$x = \frac{17}{9} = 1\frac{8}{9} \approx 1.888888889$
$$5-9x=-2\times 6$$
$$5-9x=-12$$
$$-9x=-12-5$$
$$-9x=-17$$
$$x=\frac{-17}{-9}$$
$$x=\frac{17}{9}$$
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