What is the reciprocal of -5x?

You need to obtain the reciprocal of the number `(-5x),` hence, you need to flip the number over, or to divide 1 by the number `(-5x), ` such that:

`1/(-5x)`

Using the properties of multiplication of fractions, yields:

`1/(-5x) = (1/(-5))*(1/x) = -0.2*(1/x) = -0.2/x`

Hence, the reciprocal of the given number `(-5x) ` is -`0.2/x.`