Question 931061
let x = the number

If 10 is added to a number and the sum is doubled, the result is -17 less than the number.
     2(x+10)=x-17
       2x+20=x-17
          x =-37
          
The number is -37.

Check
      2(-37+10)=-37-17
         2(-27)=-54
            -54=-54