First, let's find a common denominator for the fractions in the equation. The common denominator for 100, 16, and 50 is 800.

So, we rewrite the equation with the common denominator:

(99/100) - (1/16)x = (39/50) - x

Multiplying each term by 800 to get rid of the fractions:

(99 8) - 50x = (39 16) - 800x

792 - 50x = 624 - 800x

Add 800x to both sides:

792 + 750x = 624

Subtract 792 from both sides:

750x = -168

Divide by 750 to solve for x:

x = -168/750
x = -0.224

So, the solution to the equation is x = -0.224.