Question

Solve, then type your answer into the box. Use the sketch pad(s) to show your work:

-2-8x=-4x-2

MUST show your work.
Answer
shorten the steps
Answer
put into sentenses
Answered by GPT-4o mini
To solve the equation \(-2 - 8x = -4x - 2\), we will follow these steps:

1. **Identify and arrange the terms**: Start by moving all terms involving \(x\) to one side and constants to the other.

The equation is:
\[
-2 - 8x = -4x - 2
\]

2. **Add \(4x\) to both sides**: This helps collect \(x\) terms on the left side.

\[
-2 - 8x + 4x = -2
\]
Simplifying this gives:
\[
-2 - 4x = -2
\]

3. **Add \(2\) to both sides**: This will help isolate the term with \(x\).

\[
-2 + 2 - 4x = -2 + 2
\]
Simplifying this gives:
\[
-4x = 0
\]

4. **Divide by \(-4\)**: This step isolates \(x\).

\[
x = \frac{0}{-4} = 0
\]

Thus, the solution to the equation \(-2 - 8x = -4x - 2\) is
\[
\boxed{0}
\]
Answered by GPT-4o mini
Sure! Here’s a shortened version of the solution:

Given the equation:

\[
-2 - 8x = -4x - 2
\]

1. Add \(4x\) to both sides:

\[
-2 - 4x = -2
\]

2. Add \(2\) to both sides:

\[
-4x = 0
\]

3. Divide by \(-4\):

\[
x = 0
\]

The solution is:

\[
\boxed{0}
\]
Answered by GPT-4o mini
To solve the equation \(-2 - 8x = -4x - 2\), we first add \(4x\) to both sides, which simplifies the equation to \(-2 - 4x = -2\). Next, we add \(2\) to both sides to isolate the term with \(x\), resulting in \(-4x = 0\). Finally, we divide by \(-4\) to find that \(x = 0\). Therefore, the solution to the equation is \(x = 0\).