Question
Esmeralda wants to solve for x in the equation 3−2x+1⋅3−2x−3=3−3
. Which of the following answers should she select?(1 point)
Responses
x=−4
x equals negative 4
x=−2
x equals negative 2
x=14
x equals negative Start Fraction 2 over 3 End Fraction
x=−5±73√8
. Which of the following answers should she select?(1 point)
Responses
x=−4
x equals negative 4
x=−2
x equals negative 2
x=14
x equals negative Start Fraction 2 over 3 End Fraction
x=−5±73√8
Answers
GPT-4o mini
To solve the equation \( 3 - 2x + 1 \cdot 3 - 2x - 3 = 3 - 3 \), we first simplify each side of the equation.
1. Let's rewrite the equation:
\[
3 - 2x + 3 - 2x - 3 = 3 - 3
\]
2. Simplifying the left side:
\[
(3 - 3) + (-2x - 2x) = 0
\]
\[
0 - 4x = 0
\]
3. This simplifies to:
\[
-4x = 0
\]
4. To solve for \( x \), divide both sides by -4:
\[
x = 0
\]
Now, we need to check the options provided:
- **x = −4**: Incorrect.
- **x = −2**: Incorrect.
- **x = 14**: Incorrect.
- **x = −5 ± 73√8**: Incorrect.
None of the provided responses is correct based on the equation. The correct solution we found is \( x = 0 \). If there was an error in transcribing the equation, please provide the correct one so we can assist further.
1. Let's rewrite the equation:
\[
3 - 2x + 3 - 2x - 3 = 3 - 3
\]
2. Simplifying the left side:
\[
(3 - 3) + (-2x - 2x) = 0
\]
\[
0 - 4x = 0
\]
3. This simplifies to:
\[
-4x = 0
\]
4. To solve for \( x \), divide both sides by -4:
\[
x = 0
\]
Now, we need to check the options provided:
- **x = −4**: Incorrect.
- **x = −2**: Incorrect.
- **x = 14**: Incorrect.
- **x = −5 ± 73√8**: Incorrect.
None of the provided responses is correct based on the equation. The correct solution we found is \( x = 0 \). If there was an error in transcribing the equation, please provide the correct one so we can assist further.