What is the solution of the equation 5/2x = −1/8

Answer 1

To solve the equation 5/2x = −1/8, we can start by multiplying both sides of the equation by 8 to eliminate the fractions:

8 * (5/2x) = 8 * (-1/8)

This simplifies to:

(8 * 5)/(2x) = -1

40/(2x) = -1

Next, we can multiply both sides of the equation by 2x to isolate x:

(2x) * (40/(2x)) = (2x) * -1

This simplifies to:

40 = -2x

Finally, we can divide both sides of the equation by -2 to solve for x:

40 / -2 = -2x / -2

-20 = x

Therefore, the solution to the equation 5/2x = −1/8 is x = -20.