What is the solution of the equation 5/2x = −1/8?(1 point)
Responses

−1/20
negative Start Fraction 1 over 20 Endfraction

−5/16
negative Start Fraction 5 over 16 End Fraction

−20
negative 20

1/20
To find the solution for the equation 5/2x = -1/8, we can start by multiplying both sides of the equation by 8 to get rid of the fraction:
8*(5/2x) = 8*(-1/8)
Simplifying this gives us:
(40/2)x = -1
20x = -1
Now, we can solve for x by dividing both sides of the equation by 20:
20x/20 = -1/20
x = -1/20
Therefore, the solution to the equation 5/2x = -1/8 is x = -1/20. The correct answer is option (1) -1/20.