Let's solve the equation step by step:

Distribute the negative sign in the equation:
20 - 36 / (x/200 + 4) - 2 - 22 = 10

Combine like terms on the left side of the equation:
(20 - 2 - 22) - 36 / (x/200 + 4) = 10
-4 - 36 / (x/200 + 4) = 10

Add 4 to both sides of the equation to isolate the fraction:
-36 / (x/200 + 4) = 14

Multiply both sides by (x/200 + 4) to get rid of the fraction:
-36 = 14(x/200 + 4)

Distribute the 14 on the right side of the equation:
-36 = 14x / 200 + 56

Subtract 56 from both sides:
-92 = 14x / 200

Multiply both sides by 200 to isolate x:
-18400 = 14x

Divide both sides by 14 to solve for x:
x = -1314.29

Therefore, the solution to the equation is x = -1314.29.