Answer
$$-\frac{5}{x} - (-\frac{2}{x})$$
or
$$-\frac{3}{x}$$
Work Step by Step
Let's look at this statement in pieces:
The "quotient of $-2$ and a number" can be translated to "$-2 \div x$ or $-\frac{2}{x}$".
The answer to this portion is then subtracted from "the quotient of $-5$ and the number," which can be translated to "$-5 \div x$ or $-\frac{5}{x}$".
So let us take the first expression and subtract it from the second expression:
$$-\frac{5}{x} - (-\frac{2}{x})$$
Since both fractions have the same denominator, then we can subtract the numerators and keep the same denominator. Remember that when we subtract a negative number, we actually add the additive inverse of that number instead:
$$-\frac{5}{x} + \frac{2}{x}$$
$$-\frac{3}{x}$$
