To solve this equation, we need to isolate the variable x.

10(18-100x) = 2.5

Distribute the 10 on the left side:

180 - 1000x = 2.5

Now, let's move 180 to the other side by subtracting it from both sides:

-1000x = 2.5 - 180
-1000x = -177.5

Divide by -1000 on both sides to solve for x:

x = -177.5 / -1000
x = 0.1775

Therefore, the solution to the equation 10(18-100x) = 2.5 is x = 0.1775.