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-\frac{1}{6}x-5-\frac{2}{3}x=0
Subtract \frac{2}{3}x from both sides.
-\frac{5}{6}x-5=0
Combine -\frac{1}{6}x and -\frac{2}{3}x to get -\frac{5}{6}x.
-\frac{5}{6}x=5
Add 5 to both sides. Anything plus zero gives itself.
x=5\left(-\frac{6}{5}\right)
Multiply both sides by -\frac{6}{5}, the reciprocal of -\frac{5}{6}.
x=-6
Cancel out 5 and 5.