To solve the equation 5/2x = -1/8, we can begin by multiplying both sides of the equation by 2x to eliminate the denominator on the left side:
(2x) * (5/2x) = (2x) * (-1/8)
Simplifying:
5 = -2x/8
Next, we can multiply both sides of the equation by 8 to eliminate the denominator on the right side:
8 * 5 = -2x
40 = -2x
Finally, we divide both sides of the equation by -2 to solve for x:
40/-2 = x
-20 = x
Therefore, the solution to the equation is x = -20.
5/2x = -1/8
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