$$(5\frac{2}{6}-x)-2\frac{5}{6}=1\frac{2}{6}$$
$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$
$$5\times 6+2-6x-\left(2\times 6+5\right)=1\times 6+2$$
$$30+2-6x-\left(2\times 6+5\right)=1\times 6+2$$
$$32-6x-\left(2\times 6+5\right)=1\times 6+2$$
$$32-6x-\left(12+5\right)=1\times 6+2$$
$$32-6x-17=1\times 6+2$$
$$15-6x=1\times 6+2$$
$$15-6x=6+2$$
$$15-6x=8$$
$$-6x=8-15$$
$$-6x=-7$$
$$x=\frac{-7}{-6}$$
$$x=\frac{7}{6}$$
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