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 \( x - 5 = -6 \), we typically wouldn't multiply both sides by a number. Instead, we can solve for \( x \) by isolating it.

Here are the steps to solve the equation:

  1. Add 5 to both sides of the equation: \[ x - 5 + 5 = -6 + 5 \] This simplifies to: \[ x = -1 \]

So, the solution for \( x \) is \(-1\).

No multiplication is necessary to solve this equation, but if you were looking for a number to multiply both sides by to keep the equation balanced, any non-zero number would work, but it wouldn't help in isolating \( x \). The simplest method is to use addition as shown.