To solve this equation, we need to follow the order of operations (PEMDAS/BODMAS).

Step 1: Simplify the expression within the innermost brackets first:
(120 + x) 100 = (120 + x) 100
= 12000 + 100x

Step 2: Divide the result of step 1 by 2 and then add 200:
((12000 + 100x) / 2) + 200 = (6000 + 50x) + 200
= 6200 + 50x

Step 3: Divide the result of step 2 by 250:
(6200 + 50x) / 250 = (6200 / 250) + (50x / 250)
= 24.8 + 0.2x

Step 4: Divide the result of step 3 by 259:
(24.8 + 0.2x) / 259 = 1

Therefore, the solution to the equation is x = 195.