\[\frac{1}{6}x(-\frac{2}{-12}+\frac{7}{-3})\]
1
Two negatives make a positive.
16x(212+7−3)\frac{1}{6}x(\frac{2}{12}+\frac{7}{-3})

2
Simplify  212\frac{2}{12}  to  16\frac{1}{6}.
16x(16+7−3)\frac{1}{6}x(\frac{1}{6}+\frac{7}{-3})

3
Move the negative sign to the left.
16x(16−73)\frac{1}{6}x(\frac{1}{6}-\frac{7}{3})

4
Simplify  16−73\frac{1}{6}-\frac{7}{3}  to  −136-\frac{13}{6}.
16x×−136\frac{1}{6}x\times \frac{-13}{6}

5
Use this rule: ab×cd=acbd\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}.
1×x×−136×6\frac{1\times x\times -13}{6\times 6}

6
Simplify  1×x×−131\times x\times -13  to  −13x-13x.
−13x6×6\frac{-13x}{6\times 6}

7
Simplify  6×66\times 6  to  3636.
−13x36\frac{-13x}{36}

8
Move the negative sign to the left.
−13x36-\frac{13x}{36}

Done
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