We are given the equation:
[tex]x+\frac{1}{6}=\frac{-2}{3}[/tex]
Now we have fraction 1/6 in addition on the left side.
So we apply opposite operation of addition on the right side.
Subtracting 1/6 from right side we have,
[tex]x=\frac{-2}{3}-\frac{1}{6}[/tex]
Now in fraction addition and subtraction , we have to find the lcd first.
LCD of 3 and 6 is 6,
[tex]x=\frac{-4}{6}-\frac{1}{6}[/tex]
x=-5/6
Answer: x=-5/6
