What is the solution to the equation 1/2x+1/5x=1/6x−1/6?

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

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

just needed some points but try socratic