To solve this equation, we first need to simplify both sides separately, and then solve for x.

Starting with the left side of the equation:

(9 2/3 - x) / 3.5

First, we need to convert 9 2/3 to an improper fraction:

9 2/3 = (9 * 3 + 2) / 3 = 29 / 3

Now the equation becomes:

(29/3 - x) / 3.5

Next, we multiply by the reciprocal of 3.5 to get rid of the division:

(29/3 - x) * (1/3.5) = 17/35

Now we simplify:

(29/3 - x) * (2/7) = 17/35

Multiplying the fractions:

58/21 - 2x/7 = 17/35

Now, we need to solve for x:

58/21 - 2x/7 = 17/35

Multiplying through by the common denominator of 21:

21(58/21) - 3(2x/7) = 21(17/35)

58 - 6x = 17 * 3

58 - 6x = 51

-6x = -7

x = 7/6

Therefore, x = 7/6 or 1 1/6.