Answer :
To solve the equation [tex]\(4(3x - 6) = 24\)[/tex], let's go through the steps shown:
1. Original Equation:
The equation starts as [tex]\(4(3x - 6) = 24\)[/tex].
2. Distributive Property (Step 1):
We apply the distributive property to eliminate the parentheses:
[tex]\(4 \cdot (3x) - 4 \cdot 6 = 24\)[/tex],
which simplifies to [tex]\(12x - 24 = 24\)[/tex].
3. Adding to Both Sides (Step 2):
To isolate the variable term [tex]\(12x\)[/tex], we add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex],
which simplifies to [tex]\(12x = 48\)[/tex].
4. Dividing (Step 4):
To solve for [tex]\(x\)[/tex], we divide both sides by 12:
[tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex],
which simplifies to [tex]\(x = 4\)[/tex].
5. Solution (Step 5):
We find that [tex]\(x = 4\)[/tex].
Looking at the options to determine which step is not part of the solution process:
A. Simplifying by combining variable terms - This is not applicable here, as there is only one term involving [tex]\(x\)[/tex].
B. Dividing both sides by 12 to isolate the variable - This does happen in Step 4.
C. Adding 24 to both sides to isolate the variable term - This happens in Step 2.
D. Using the distributive property - This occurs in Step 1.
Therefore, the step not part of the solution process is A. Simplifying by combining variable terms.
1. Original Equation:
The equation starts as [tex]\(4(3x - 6) = 24\)[/tex].
2. Distributive Property (Step 1):
We apply the distributive property to eliminate the parentheses:
[tex]\(4 \cdot (3x) - 4 \cdot 6 = 24\)[/tex],
which simplifies to [tex]\(12x - 24 = 24\)[/tex].
3. Adding to Both Sides (Step 2):
To isolate the variable term [tex]\(12x\)[/tex], we add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex],
which simplifies to [tex]\(12x = 48\)[/tex].
4. Dividing (Step 4):
To solve for [tex]\(x\)[/tex], we divide both sides by 12:
[tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex],
which simplifies to [tex]\(x = 4\)[/tex].
5. Solution (Step 5):
We find that [tex]\(x = 4\)[/tex].
Looking at the options to determine which step is not part of the solution process:
A. Simplifying by combining variable terms - This is not applicable here, as there is only one term involving [tex]\(x\)[/tex].
B. Dividing both sides by 12 to isolate the variable - This does happen in Step 4.
C. Adding 24 to both sides to isolate the variable term - This happens in Step 2.
D. Using the distributive property - This occurs in Step 1.
Therefore, the step not part of the solution process is A. Simplifying by combining variable terms.
