The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 2 1/2 find the number

Let x be the number. If I understand the wording of the problem correctly, then the equation is this: x + (1/6) x + (5/2) x + 7 = 5/2.

x = - 27/22 or - 1 5/22 if a mixed number is desired.