Question
Steps for solving 4(3x - 6) = 24 are shown.
Which of these is not part of the solution process?
4(3x - 6) = 24
12x - 24 = 24
12x - 24 + 24 = 24 + 24
12z = 48
12x
48
=
12
12
x = 4
Original Equation
Step 1
Step 2
Step 3
Step 4
Step 5
Using the distributive property
Dividing both sides by 12 to isolate the variable
Simplifying by combining variable terms
Adding 24 to both sides to isolate the variable term
Which of these is not part of the solution process?
4(3x - 6) = 24
12x - 24 = 24
12x - 24 + 24 = 24 + 24
12z = 48
12x
48
=
12
12
x = 4
Original Equation
Step 1
Step 2
Step 3
Step 4
Step 5
Using the distributive property
Dividing both sides by 12 to isolate the variable
Simplifying by combining variable terms
Adding 24 to both sides to isolate the variable term
Answers
GPT-4o mini
Let's analyze the steps you've provided for solving the equation \(4(3x - 6) = 24\):
1. **Starting Equation**: \(4(3x - 6) = 24\)
2. **Applying Distributive Property**: \(12x - 24 = 24\)
3. **Adding 24 to Both Sides**: \(12x - 24 + 24 = 24 + 24\) → This simplifies to \(12x = 48\)
4. **Dividing Both Sides by 12**: \(x = 4\)
Now, let's identify which listed step is not part of the solution process:
- **Using the distributive property**: This step is used when expanding \(4(3x - 6)\) to \(12x - 24\).
- **Adding 24 to both sides to isolate the variable term**: This is part of the solution, as we add 24 to both sides to isolate \(12x\).
- **Simplifying by combining variable terms**: This step is not applicable in this process since we're not combining terms of different variables or constants in these steps. There are no variable terms to combine.
- **Dividing both sides by 12 to isolate the variable**: This step is used when solving for \(x = 4\).
The step that is **not** part of the solution process is ***Simplifying by combining variable terms***.
1. **Starting Equation**: \(4(3x - 6) = 24\)
2. **Applying Distributive Property**: \(12x - 24 = 24\)
3. **Adding 24 to Both Sides**: \(12x - 24 + 24 = 24 + 24\) → This simplifies to \(12x = 48\)
4. **Dividing Both Sides by 12**: \(x = 4\)
Now, let's identify which listed step is not part of the solution process:
- **Using the distributive property**: This step is used when expanding \(4(3x - 6)\) to \(12x - 24\).
- **Adding 24 to both sides to isolate the variable term**: This is part of the solution, as we add 24 to both sides to isolate \(12x\).
- **Simplifying by combining variable terms**: This step is not applicable in this process since we're not combining terms of different variables or constants in these steps. There are no variable terms to combine.
- **Dividing both sides by 12 to isolate the variable**: This step is used when solving for \(x = 4\).
The step that is **not** part of the solution process is ***Simplifying by combining variable terms***.
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