Question
Question
Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 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.
5x−12−6x=−10x+7−1
Step 1: Combine like terms Response area,
Step 2: Get x-terms on same side of equation Response area
Step 3: Get constants on same side of equation Response area
Step 4: Get the x by itself by using the inverse operation Response area
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Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 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.
5x−12−6x=−10x+7−1
Step 1: Combine like terms Response area,
Step 2: Get x-terms on same side of equation Response area
Step 3: Get constants on same side of equation Response area
Step 4: Get the x by itself by using the inverse operation Response area
Skip to navigation
Answers
GPT-4o mini
To solve the equation \( 5x - 12 - 6x = -10x + 7 - 1 \), here are the steps you would follow:
**Step 1: Combine like terms**
Combine the x-terms on the left side and the constants on the right side.
Response: \( -x - 12 = -10x + 6 \)
**Step 2: Get x-terms on the same side of the equation**
Add \( 10x \) to both sides to get all the x-terms on one side.
Response: \( -x + 10x - 12 = 6 \) (which can be simplified to \( 9x - 12 = 6 \))
**Step 3: Get constants on the same side of the equation**
Add \( 12 \) to both sides to move constants to the right.
Response: \( 9x = 18 \)
**Step 4: Get the x by itself by using the inverse operation**
Divide both sides by \( 9 \) to isolate \( x \).
Response: \( x = 2 \)
So, the completed process is as follows:
1. **Combine like terms**: \( -x - 12 = -10x + 6 \)
2. **Get x-terms on same side of equation**: \( -x + 10x - 12 = 6 \)
3. **Get constants on same side of equation**: \( 9x = 18 \)
4. **Get the x by itself by using the inverse operation**: \( x = 2 \)
**Step 1: Combine like terms**
Combine the x-terms on the left side and the constants on the right side.
Response: \( -x - 12 = -10x + 6 \)
**Step 2: Get x-terms on the same side of the equation**
Add \( 10x \) to both sides to get all the x-terms on one side.
Response: \( -x + 10x - 12 = 6 \) (which can be simplified to \( 9x - 12 = 6 \))
**Step 3: Get constants on the same side of the equation**
Add \( 12 \) to both sides to move constants to the right.
Response: \( 9x = 18 \)
**Step 4: Get the x by itself by using the inverse operation**
Divide both sides by \( 9 \) to isolate \( x \).
Response: \( x = 2 \)
So, the completed process is as follows:
1. **Combine like terms**: \( -x - 12 = -10x + 6 \)
2. **Get x-terms on same side of equation**: \( -x + 10x - 12 = 6 \)
3. **Get constants on same side of equation**: \( 9x = 18 \)
4. **Get the x by itself by using the inverse operation**: \( x = 2 \)