Question

What number should both sides of the equation x−5=−6
𝑥
−
5
=
−
6
be multiplied by to solve for the value of x
𝑥
?(1 point)
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Check answerRemaining Attempts : 3

Answer 1

Your answer is wrong.

Answer 2

So what's the answer.

Answer 3

To solve the equation \( x - 5 = -6 \) for \( x \), you can isolate \( x \) without multiplying both sides by any number.

Here's how you can do it:

1. Add 5 to both sides of the equation to isolate \( x \):

\[
x - 5 + 5 = -6 + 5
\]

This simplifies to:

\[
x = -1
\]

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

If you're specifically looking to multiply both sides by a number, you can technically multiply by any non-zero number (like 1) without changing the equality, but this is not necessary for solving the equation directly. Just isolating \( x \) is the simplest approach.

Answer 4

I apologize for any confusion. Let's clarify the steps to solve the equation \(x - 5 = -6\).

The equation can be solved by isolating \(x\) without necessarily multiplying by a number. Here's the step-by-step solution again:

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

2. To solve for \(x\), add 5 to both sides:
\[
x - 5 + 5 = -6 + 5
\]

This reduces to:
\[
x = -1
\]

Thus, \(x = -1\).

If your question concerns multiplying both sides of the equation by a specific number, it’s important to note that multiplying by any non-zero number does not affect the solution but does complicate it unnecessarily in this case.

If you meant to ask about manipulating the equation in a specific way (like getting rid of fractions or balancing an equation), please provide further context! Otherwise, multiplying both sides of the equation by 1 would keep the equation the same:

\[
1(x - 5) = 1(-6)
\]

This still results in the same equation, \(x - 5 = -6\).

Again, I'm here to clarify or assist further if needed!

Answer 5

To answer your original question directly:

The equation \( x - 5 = -6 \) does not require you to multiply both sides by a specific number to solve for \( x \). However, if you were to multiply both sides by **any non-zero number**, it would preserve the equality.

If you are looking for a specific number to multiply by just to illustrate the process, you could multiply by **1** (which doesn't change the value) or **-1** (which flips the signs of both sides), but these aren't necessary to solve the equation.

If we had to choose one number to multiply both sides of \( x - 5 = -6 \), it could be any non-zero number, but a common one to illustrate the point would be **1**.

To recap:
- You can multiply both sides by any non-zero number, but it’s not needed to find \( x \).
- A typical choice could be **1**.