We are given the equation:
![x+(1)/(6)=(-2)/(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/8o3se7w3kt56jtjxpvup7iz3xrhp7a4ixg.png)
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,
![x=(-2)/(3)-(1)/(6)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ll3dqnjjervwiecjp58sdrj1gkc5ggomn6.png)
Now in fraction addition and subtraction , we have to find the lcd first.
LCD of 3 and 6 is 6,
![x=(-4)/(6)-(1)/(6)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/7qwapr38o5nftbc4vskaktuvam9fuzqwdw.png)
x=-5/6
Answer: x=-5/6