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 \( x - 5 = -6 \), you actually do not need to multiply both sides by any number; instead, you can isolate \( x \) by adding 5 to both sides of the equation.

Here's how you do it step by step:

  1. Start with the original equation: \[ x - 5 = -6 \]

  2. Add 5 to both sides: \[ x - 5 + 5 = -6 + 5 \]

  3. Simplify: \[ x = -1 \]

So, the value of \( x \) is \(-1\).

To address your question directly: there is no specific number that you need to multiply both sides by to solve this equation; adding is the appropriate operation here.