5/2x=-1/8

1 answer

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

We can start by multiplying both sides of the equation by 2 to eliminate the fraction on the left side:

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

This simplifies to:

5x = -1/4

Now, divide both sides of the equation by 5 to solve for x:

x = (-1/4) / 5

When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction:

x = (-1/4) * (1/5)

Multiply the numerators and denominators:

x = -1/20

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