Final answer:
To solve the equation -4/-8=5/2x, simplify both sides of the equation, isolate the variable x, and find the solution.
Step-by-step explanation:
To solve the equation -4/-8=5/2x, we can start by simplifying both sides of the equation. The negative sign in front of the fractions can be canceled out, leaving us with 4/8=5/2x. Next, we can simplify the fractions on each side of the equation: 1/2=5/2x. To isolate the variable, we can multiply both sides of the equation by the reciprocal of 5/2, which is 2/5: 1/2 * 2/5 = 5/2x * 2/5. This simplifies to 1/5 = x. Therefore, the only solution for x that satisfies the equation is x = 1/5.