|9-4x| : 8 + 0.875 = 1

First, let's simplify the left side of the equation:
|9-4x| : 8 = 1 - 0.875
|9-4x| : 8 = 0.125

Now, we can solve for |9-4x|:
|9-4x| = 0.125 * 8
|9-4x| = 1

Now, we can solve for x:
9-4x = 1 or 9-4x = -1
-4x = -8 or -4x = -10
x = 2 or x = 2.5

Therefore, the solutions for x are x = 2 or x = 2.5.