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Answer :
To solve the equation [tex]\( 4(3x - 6) = 24 \)[/tex], we need to identify each step in the process and determine which option is not part of the solution process. Let's break down the steps:
1. Original Equation: [tex]\( 4(3x - 6) = 24 \)[/tex]
2. Step 1 - Using the Distributive Property:
- We distribute 4 into the terms inside the parentheses: [tex]\( 4 \times 3x \)[/tex] and [tex]\( 4 \times -6 \)[/tex].
- This gives us: [tex]\( 12x - 24 = 24 \)[/tex].
- This step involves the use of the distributive property.
3. Step 2 - Adding 24 to Both Sides:
- To isolate the term with the variable, we add 24 to both sides of the equation: [tex]\( 12x - 24 + 24 = 24 + 24 \)[/tex].
- This simplifies to: [tex]\( 12x = 48 \)[/tex].
4. Step 3 - Dividing Both Sides by 12:
- We divide both sides of the equation by 12 to solve for [tex]\( x \)[/tex]: [tex]\( \frac{12x}{12} = \frac{48}{12} \)[/tex].
- This gives us: [tex]\( x = 4 \)[/tex].
Now let's evaluate the options given:
- Option A: Dividing both sides by 12 to isolate the variable.
- This step is part of the solution process as seen in Step 3.
- Option B: Using the distributive property.
- This step is used in Step 1, where we distributed the 4 to the terms inside the parentheses.
Therefore, both steps, A and B, are part of the solution process, and none of these steps are incorrectly listed as not being part of the process.
In conclusion, both Options A and B are indeed part of the solution, and the question seems to suggest an option not fitting, but in reality, all listed processes are valid steps in solving the equation.
1. Original Equation: [tex]\( 4(3x - 6) = 24 \)[/tex]
2. Step 1 - Using the Distributive Property:
- We distribute 4 into the terms inside the parentheses: [tex]\( 4 \times 3x \)[/tex] and [tex]\( 4 \times -6 \)[/tex].
- This gives us: [tex]\( 12x - 24 = 24 \)[/tex].
- This step involves the use of the distributive property.
3. Step 2 - Adding 24 to Both Sides:
- To isolate the term with the variable, we add 24 to both sides of the equation: [tex]\( 12x - 24 + 24 = 24 + 24 \)[/tex].
- This simplifies to: [tex]\( 12x = 48 \)[/tex].
4. Step 3 - Dividing Both Sides by 12:
- We divide both sides of the equation by 12 to solve for [tex]\( x \)[/tex]: [tex]\( \frac{12x}{12} = \frac{48}{12} \)[/tex].
- This gives us: [tex]\( x = 4 \)[/tex].
Now let's evaluate the options given:
- Option A: Dividing both sides by 12 to isolate the variable.
- This step is part of the solution process as seen in Step 3.
- Option B: Using the distributive property.
- This step is used in Step 1, where we distributed the 4 to the terms inside the parentheses.
Therefore, both steps, A and B, are part of the solution process, and none of these steps are incorrectly listed as not being part of the process.
In conclusion, both Options A and B are indeed part of the solution, and the question seems to suggest an option not fitting, but in reality, all listed processes are valid steps in solving the equation.
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