To find the solution for the equation, we can start by multiplying both sides of the equation by 2x to eliminate the fraction:
(5/2x)(2x) = (-1/8)(2x)
Simplifying, we get:
5 = -1/4x
Next, we can multiply both sides of the equation by 4 to eliminate the fraction:
4(5) = 4(-1/4x)
Simplifying further, we get:
20 = -x
To isolate x, we can multiply both sides of the equation by -1:
-1(20) = -1(-x)
Simplifying the equation, we get:
-20 = x
Therefore, the solution to the equation 5/2x = -1/8 is x = -20.