Question 1056976

Let x=the number

4x+4   (sum of four times a number and 4 more)
-31-2x (difference between -31 and twice the number)

 Set the above two things equal to each other ("…the same as…")

   4x+4 = -31-2x
    6x+4 = -31       (added 2x to both sides)
         6x = -35      (subtracted 4 from both sides)

    Ans:     x = -35/6

Check:
      4(-35/6) + 4 = (-140+24)/6 = -116/6
      -31-2(-35/6) = (-186+70)/6 = -116/6  (ok)