What number should both sides of the equation x/-5=-6 be multiplied by to solve for the value x?

Answer 1

To solve the equation \( \frac{x}{-5} = -6 \), you need to eliminate the fraction by multiplying both sides of the equation by \(-5\).

Here's the step-by-step solution:

1. Start with the equation: \[ \frac{x}{-5} = -6 \]

2. Multiply both sides by \(-5\) to get rid of the denominator: \[ -5 \cdot \frac{x}{-5} = -6 \cdot -5 \]

3. Simplifying both sides gives: \[ x = 30 \]

So, the number you should multiply both sides by is \(-5\).