Question
Identify the steps followed to solve the equation 5−3(x+3)=11−8x (5 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 5−3x−9=11−8x −3x−4=11−8x 5x−4=11 5x=15 x=3
Answers
GPT-4o mini
To solve the equation \( 5 - 3(x + 3) = 11 - 8x \), the steps followed can be arranged in order as follows:
1. **Distribute the -3**:
\( 5 - 3x - 9 = 11 - 8x \)
2. **Combine like terms**:
\( -3x - 4 = 11 - 8x \)
3. **Add 8x to both sides**:
\( 5x - 4 = 11 \)
4. **Add 4 to both sides**:
\( 5x = 15 \)
5. **Divide by 5**:
\( x = 3 \)
So, the order of the responses is:
1. \( 5 - 3x - 9 = 11 - 8x \)
2. \( -3x - 4 = 11 - 8x \)
3. \( 5x - 4 = 11 \)
4. \( 5x = 15 \)
5. \( x = 3 \)
1. **Distribute the -3**:
\( 5 - 3x - 9 = 11 - 8x \)
2. **Combine like terms**:
\( -3x - 4 = 11 - 8x \)
3. **Add 8x to both sides**:
\( 5x - 4 = 11 \)
4. **Add 4 to both sides**:
\( 5x = 15 \)
5. **Divide by 5**:
\( x = 3 \)
So, the order of the responses is:
1. \( 5 - 3x - 9 = 11 - 8x \)
2. \( -3x - 4 = 11 - 8x \)
3. \( 5x - 4 = 11 \)
4. \( 5x = 15 \)
5. \( x = 3 \)