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Answer :
To determine which step is not part of the solution process for solving the equation [tex]\(4(3x - 6) = 24\)[/tex], let's closely analyze each step provided:
1. Step 1: [tex]\(4(3x - 6) = 24\)[/tex]
- This is the original equation.
2. Step 2: [tex]\(12x - 24 = 24\)[/tex]
- Here, we use the distributive property to simplify [tex]\(4(3x - 6)\)[/tex] into [tex]\(12x - 24\)[/tex].
3. Step 3: [tex]\(12x - 24 + 24 = 24 + 24\)[/tex]
- We add 24 to both sides to isolate the variable term [tex]\(12x\)[/tex].
4. Step 4: [tex]\(12x = 48\)[/tex]
- Simplify both sides after adding 24.
5. Step 5: [tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex]
- Divide both sides by 12 to solve for [tex]\(x\)[/tex].
6. Step 6: [tex]\(x = 4\)[/tex]
- This gives us the final solution for [tex]\(x\)[/tex].
Now, let's match these steps with the provided choices:
A. Dividing both sides by 12 to isolate the variable:
- This corresponds to Step 5.
B. Simplifying by combining variable terms:
- This is not explicitly part of any of the steps provided. We have combined constant terms and used the distributive property but never needed to combine variable terms explicitly.
C. Using the distributive property:
- This corresponds to Step 2, where we simplified [tex]\(4(3x - 6)\)[/tex] into [tex]\(12x - 24\)[/tex].
D. Adding 24 to both sides to isolate the variable term:
- This corresponds to Step 3.
Given this analysis, the step that is not part of the solution process for the given equation is:
B. Simplifying by combining variable terms.
Therefore, the correct answer is B.
1. Step 1: [tex]\(4(3x - 6) = 24\)[/tex]
- This is the original equation.
2. Step 2: [tex]\(12x - 24 = 24\)[/tex]
- Here, we use the distributive property to simplify [tex]\(4(3x - 6)\)[/tex] into [tex]\(12x - 24\)[/tex].
3. Step 3: [tex]\(12x - 24 + 24 = 24 + 24\)[/tex]
- We add 24 to both sides to isolate the variable term [tex]\(12x\)[/tex].
4. Step 4: [tex]\(12x = 48\)[/tex]
- Simplify both sides after adding 24.
5. Step 5: [tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex]
- Divide both sides by 12 to solve for [tex]\(x\)[/tex].
6. Step 6: [tex]\(x = 4\)[/tex]
- This gives us the final solution for [tex]\(x\)[/tex].
Now, let's match these steps with the provided choices:
A. Dividing both sides by 12 to isolate the variable:
- This corresponds to Step 5.
B. Simplifying by combining variable terms:
- This is not explicitly part of any of the steps provided. We have combined constant terms and used the distributive property but never needed to combine variable terms explicitly.
C. Using the distributive property:
- This corresponds to Step 2, where we simplified [tex]\(4(3x - 6)\)[/tex] into [tex]\(12x - 24\)[/tex].
D. Adding 24 to both sides to isolate the variable term:
- This corresponds to Step 3.
Given this analysis, the step that is not part of the solution process for the given equation is:
B. Simplifying by combining variable terms.
Therefore, the correct answer is B.
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