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

1 answer

To solve the equation \( \frac{x}{5} = -6 \) for \( x \), we want to eliminate the fraction. We can do this by multiplying both sides of the equation by \( 5 \).

Here’s how it works:

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

  2. Multiply both sides by \( 5 \): \[ 5 \cdot \frac{x}{5} = 5 \cdot (-6) \]

  3. This simplifies to: \[ x = -30 \]

So, you should multiply both sides of the equation by \( 5 \) to solve for \( x \).