Asked by TheOGBlurryface
Solve the equation filling in the steps: 2(x−3)+21=−3
Distribute to get ( Response area)
Combine like terms to get (Response area)
Use the (choose a property) [Response area] to get (resulting equation) Response area
Use the (choose a property) [Response area] to get (resulting answer) Response area
Distribute to get ( Response area)
Combine like terms to get (Response area)
Use the (choose a property) [Response area] to get (resulting equation) Response area
Use the (choose a property) [Response area] to get (resulting answer) Response area
Answers
Answered by
TheOGBlurryface
I don't see that option for step 4, what is another way to say the 4th step?
Answered by
TheOGBlurryface
I don't see 2x = -3 - 15
Answered by
TheOGBlurryface
I mean for step 3, what is another way to say step 3?
Answered by
TheOGBlurryface
That is step 2, not 3
Answered by
GPT-4o mini
Let's solve the equation step by step:
1. **Original equation**:
\[
2(x−3)+21=−3
\]
2. **Distribute** to get:
\[
2x - 6 + 21 = -3
\]
(Here, \(2\) is multiplied by both \(x\) and \(-3\).)
3. **Combine like terms** to get:
\[
2x + 15 = -3
\]
(The \(-6\) and \(21\) combine to \(15\).)
4. **Use the subtraction property of equality** to get:
\[
2x = -3 - 15
\]
(We subtract \(15\) from both sides of the equation.)
5. **Combine** to get:
\[
2x = -18
\]
6. **Use the division property of equality** to get:
\[
x = \frac{-18}{2}
\]
(We divide both sides by \(2\).)
7. **Simplify** to get:
\[
x = -9
\]
So, the solution to the equation is \(x = -9\).
To summarize:
- Distribute to get: \(2x - 6 + 21 = -3\)
- Combine like terms to get: \(2x + 15 = -3\)
- Use the subtraction property of equality to get: \(2x = -3 - 15\)
- Use the division property of equality to get: \(x = -9\)
1. **Original equation**:
\[
2(x−3)+21=−3
\]
2. **Distribute** to get:
\[
2x - 6 + 21 = -3
\]
(Here, \(2\) is multiplied by both \(x\) and \(-3\).)
3. **Combine like terms** to get:
\[
2x + 15 = -3
\]
(The \(-6\) and \(21\) combine to \(15\).)
4. **Use the subtraction property of equality** to get:
\[
2x = -3 - 15
\]
(We subtract \(15\) from both sides of the equation.)
5. **Combine** to get:
\[
2x = -18
\]
6. **Use the division property of equality** to get:
\[
x = \frac{-18}{2}
\]
(We divide both sides by \(2\).)
7. **Simplify** to get:
\[
x = -9
\]
So, the solution to the equation is \(x = -9\).
To summarize:
- Distribute to get: \(2x - 6 + 21 = -3\)
- Combine like terms to get: \(2x + 15 = -3\)
- Use the subtraction property of equality to get: \(2x = -3 - 15\)
- Use the division property of equality to get: \(x = -9\)
Answered by
GPT-4o mini
Absolutely! For step 4, instead of saying "Use the subtraction property of equality," you can say:
**Use the additive inverse property** to get:
\[
2x = -3 - 15
\]
The additive inverse property emphasizes that to isolate \(x\), we are effectively "removing" \(15\) from the left side by adding its opposite, which is \(-15\).
So, the revised step could be:
4. **Use the additive inverse property** to get:
\[
2x = -3 - 15
\]
Thank you for pointing that out!
**Use the additive inverse property** to get:
\[
2x = -3 - 15
\]
The additive inverse property emphasizes that to isolate \(x\), we are effectively "removing" \(15\) from the left side by adding its opposite, which is \(-15\).
So, the revised step could be:
4. **Use the additive inverse property** to get:
\[
2x = -3 - 15
\]
Thank you for pointing that out!
Answered by
GPT-4o mini
I apologize for the confusion in the explanation. Let's clarify and rewrite that step correctly.
After combining like terms, we had:
\[
2x + 15 = -3
\]
When isolating \(2x\), you subtract \(15\) from both sides of the equation. Let's rewrite step 4 clearly and correctly:
4. **Use the additive inverse property** to get:
\[
2x = -3 - 15
\]
This is correct. Now combining the right-hand side:
\[
2x = -18
\]
So indeed, **after subtracting \(15\)** from both sides, we correctly reach \(2x = -18\).
To summarize the steps one more time:
1. **Original equation**:
\[
2(x−3)+21=−3
\]
2. **Distribute**:
\[
2x - 6 + 21 = -3
\]
3. **Combine like terms**:
\[
2x + 15 = -3
\]
4. **Use the additive inverse property** to isolate \(2x\):
\[
2x = -3 - 15
\]
5. **Combine**:
\[
2x = -18
\]
6. **Use the division property of equality**:
\[
x = \frac{-18}{2}
\]
7. **Simplify**:
\[
x = -9
\]
Your final answer is \(x = -9\). Thank you for your patience, and I hope this clears up any confusion!
After combining like terms, we had:
\[
2x + 15 = -3
\]
When isolating \(2x\), you subtract \(15\) from both sides of the equation. Let's rewrite step 4 clearly and correctly:
4. **Use the additive inverse property** to get:
\[
2x = -3 - 15
\]
This is correct. Now combining the right-hand side:
\[
2x = -18
\]
So indeed, **after subtracting \(15\)** from both sides, we correctly reach \(2x = -18\).
To summarize the steps one more time:
1. **Original equation**:
\[
2(x−3)+21=−3
\]
2. **Distribute**:
\[
2x - 6 + 21 = -3
\]
3. **Combine like terms**:
\[
2x + 15 = -3
\]
4. **Use the additive inverse property** to isolate \(2x\):
\[
2x = -3 - 15
\]
5. **Combine**:
\[
2x = -18
\]
6. **Use the division property of equality**:
\[
x = \frac{-18}{2}
\]
7. **Simplify**:
\[
x = -9
\]
Your final answer is \(x = -9\). Thank you for your patience, and I hope this clears up any confusion!
Answered by
GPT-4o mini
For step 3, instead of saying "Combine like terms," you could say:
**Simplify the left side** to get:
This highlights the action of combining the constants directly without specifically labeling them as "like terms."
So, step 3 would then be rewritten as:
3. **Simplify the left side** to get:
\[
2x + 15 = -3
\]
Thank you for your feedback, and I'm glad to provide alternative phrasing!
**Simplify the left side** to get:
This highlights the action of combining the constants directly without specifically labeling them as "like terms."
So, step 3 would then be rewritten as:
3. **Simplify the left side** to get:
\[
2x + 15 = -3
\]
Thank you for your feedback, and I'm glad to provide alternative phrasing!
Answered by
GPT-4o mini
I apologize for the mix-up. Let's clarify step 3 correctly. After you have distributed and simplified the left side in step 2, you have:
\[
2x + 15 = -3
\]
Now for step 3, instead of saying "Combine like terms," you can say:
**Move the constant to the right side** to get:
\[
2x = -3 - 15
\]
So the revised step 3 could be phrased as:
3. **Move the constant to the right side** to get:
\[
2x = -3 - 15
\]
Thank you for your patience as we clarify these steps!
\[
2x + 15 = -3
\]
Now for step 3, instead of saying "Combine like terms," you can say:
**Move the constant to the right side** to get:
\[
2x = -3 - 15
\]
So the revised step 3 could be phrased as:
3. **Move the constant to the right side** to get:
\[
2x = -3 - 15
\]
Thank you for your patience as we clarify these steps!
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