Answer :
Sure! Let's go through the solution process for the equation step by step to identify which option is not part of the solution process:
The given equation is:
[tex]\[ 4(3x - 6) = 24 \][/tex]
1. Using the distributive property:
Step 1: Apply the distributive property to remove the parentheses:
[tex]\[ 4(3x - 6) = 24 \][/tex]
[tex]\[ 12x - 24 = 24 \][/tex]
2. Adding 24 to both sides to isolate the variable term:
Step 2: To isolate the term with the variable, add 24 to both sides of the equation:
[tex]\[ 12x - 24 + 24 = 24 + 24 \][/tex]
[tex]\[ 12x = 48 \][/tex]
3. Dividing both sides by 12 to isolate the variable:
Step 3: Divide both sides of the equation by 12 to solve for [tex]\( x \)[/tex]:
[tex]\[ \frac{12x}{12} = \frac{48}{12} \][/tex]
[tex]\[ x = 4 \][/tex]
Now, let's check each option:
- A. Using the distributive property: This action is performed when we go from [tex]\( 4(3x - 6) \)[/tex] to [tex]\( 12x - 24 \)[/tex].
- B. Dividing both sides by 12 to isolate the variable: This action is performed when we divide [tex]\( 12x = 48 \)[/tex] by 12 to get [tex]\( x = 4 \)[/tex].
- C. Simplifying by combining variable terms: In this solution process, we do not combine any terms with variables. Each step involves either distributing, adding constants to both sides, or dividing.
- D. Adding 24 to both sides to isolate the variable term: This action is performed when we go from [tex]\( 12x - 24 = 24 \)[/tex] to [tex]\( 12x = 48 \)[/tex].
Given the steps and actions involved in solving the equation, the correct answer is:
C. Simplifying by combining variable terms
This step is not part of the solution process for the given equation.
The given equation is:
[tex]\[ 4(3x - 6) = 24 \][/tex]
1. Using the distributive property:
Step 1: Apply the distributive property to remove the parentheses:
[tex]\[ 4(3x - 6) = 24 \][/tex]
[tex]\[ 12x - 24 = 24 \][/tex]
2. Adding 24 to both sides to isolate the variable term:
Step 2: To isolate the term with the variable, add 24 to both sides of the equation:
[tex]\[ 12x - 24 + 24 = 24 + 24 \][/tex]
[tex]\[ 12x = 48 \][/tex]
3. Dividing both sides by 12 to isolate the variable:
Step 3: Divide both sides of the equation by 12 to solve for [tex]\( x \)[/tex]:
[tex]\[ \frac{12x}{12} = \frac{48}{12} \][/tex]
[tex]\[ x = 4 \][/tex]
Now, let's check each option:
- A. Using the distributive property: This action is performed when we go from [tex]\( 4(3x - 6) \)[/tex] to [tex]\( 12x - 24 \)[/tex].
- B. Dividing both sides by 12 to isolate the variable: This action is performed when we divide [tex]\( 12x = 48 \)[/tex] by 12 to get [tex]\( x = 4 \)[/tex].
- C. Simplifying by combining variable terms: In this solution process, we do not combine any terms with variables. Each step involves either distributing, adding constants to both sides, or dividing.
- D. Adding 24 to both sides to isolate the variable term: This action is performed when we go from [tex]\( 12x - 24 = 24 \)[/tex] to [tex]\( 12x = 48 \)[/tex].
Given the steps and actions involved in solving the equation, the correct answer is:
C. Simplifying by combining variable terms
This step is not part of the solution process for the given equation.
