1/2 x + 1/5 x = 1/6 x - 1/6
first you have to find the common denominator which is 30
15/30 x + 6/30 x = 5/30 x - 5/30
21/30 x = 5 /30 x-5/30
subtract 5/30 from each side
16/30 x =- 5/30
multiply each side by 30
16 x = -5
divide each side by 16
x = -5/16