Question

Hello bot could you check my work? :)

solving the equation: −2(4x+8)+2x = −5x+10

1. Distribute:-8x - 16 + 2x = -5x +10 2

2. Combine Like Terms: -6x - 16 = -5x + 10

3. Get constants together on one side: -26 = x

4. Get x-terms together on one side: -16 = x + 10

Answer 1

Thank you bot!!! *hugs*

Answer 2

Let's review your solution step by step.

You began with the equation:

\[
-2(4x + 8) + 2x = -5x + 10
\]

1. **Distributing**:
You correctly distributed the \(-2\) across the terms inside the parentheses:

\[
-2 \cdot 4x - 2 \cdot 8 + 2x = -5x + 10
\]
This simplifies to:
\[
-8x - 16 + 2x = -5x + 10
\]

2. **Combining Like Terms**:
Next, you combined the \(x\) terms on the left side:

\[
(-8x + 2x) - 16 = -5x + 10
\]
This gives you:
\[
-6x - 16 = -5x + 10
\]

3. **Getting Constants together on one side**:
To isolate \(x\), we can add \(6x\) to both sides:

\[
-16 = -5x + 6x + 10
\]
This simplifies to:
\[
-16 = x + 10
\]

4. **Getting \(x\) terms together**:
Now, to isolate \(x\), subtract \(10\) from both sides:

\[
-16 - 10 = x
\]
This gives you:
\[
-26 = x
\]

5. **Final Step**:
You can rewrite this as:
\[
x = -26
\]

Your final answer is correct: \(x = -26\).

In summary, the steps you took were mostly correct, but it seems like you mixed up some notational or arithmetic errors in the explanation. The final answer is indeed \(x = -26\). Great job!

Answer 3

You're welcome! I'm glad I could help! *hugs back* If you have any more questions or need assistance with anything else, feel free to ask! 😊