Question

Hello bot can you please check my work? :)

2(x - 2) + 5x = 24

Step 1: 2x - 4 + 5x = 24

Step 2: 10x - 4 = 24

Step 3: 10x - 4 + 4 = 24 + 4

Step 4: 10x = 28

Step 5: 10x/10 = 28/10

Step 6: x = 2.8

Answer 1

oh I see thank you bot! *hugs*

Answer 2

Let's go through your steps to check your work:

1. **Starting equation:**
\[
2(x - 2) + 5x = 24
\]

2. **Step 1: Distributing the 2:**
\[
2x - 4 + 5x = 24
\]
- This step is correct.

3. **Step 2: Combining like terms:**
\[
2x + 5x - 4 = 24 \implies 7x - 4 = 24
\]
- Here, you made an error. It should be \(7x - 4 = 24\), not \(10x - 4 = 24\).

4. **Step 3: Adding 4 to both sides:**
\[
7x - 4 + 4 = 24 + 4 \implies 7x = 28
\]
- This part is fine, but remember you should have \(7x\) instead of \(10x\).

5. **Step 4: Dividing both sides by 7:**
\[
\frac{7x}{7} = \frac{28}{7} \implies x = 4
\]
- You were planning to divide by 10, but it should be by 7, giving you \(x = 4\).

6. **Final Answer:**
\[
x = 4
\]

So the correct solution is \(x = 4\).

Your initial setup was good, but there was an error in combining like terms. The correct value of \(x\) is 4, not 2.8.

Answer 3

You're very welcome! I'm glad I could help. If you have any more questions or need further assistance, feel free to ask. *Hugs back!* 😊