Answer :
Let's solve the equation step-by-step to determine which part isn't usually included in the solution process. The equation given is:
[tex]\[ 4(3x - 6) = 24 \][/tex]
Here's how we can solve it:
1. Distribute the 4 to both terms inside the parentheses:
[tex]\[ 4 \times 3x = 12x \][/tex]
[tex]\[ 4 \times -6 = -24 \][/tex]
So, the equation becomes:
[tex]\[ 12x - 24 = 24 \][/tex]
2. Add 24 to both sides to eliminate the -24 on the left side:
[tex]\[ 12x - 24 + 24 = 24 + 24 \][/tex]
Simplifying both sides gives us:
[tex]\[ 12x = 48 \][/tex]
3. Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[ \frac{12x}{12} = \frac{48}{12} \][/tex]
This simplifies to:
[tex]\[ x = 4 \][/tex]
Now, looking at the steps:
- Step 1: Distribute the 4 to get [tex]\(12x - 24 = 24\)[/tex].
- Step 2: Add 24 to both sides to get [tex]\(12x = 48\)[/tex].
- Step 3: Divide both sides by 12 to solve for [tex]\(x = 4\)[/tex].
The steps include distributing, adding, and dividing to solve the equation.
To answer the question, "Which of these is not part of the solution process?" involves reviewing these steps. While dividing by 12 is necessary to isolate [tex]\(x\)[/tex] in this case, when provided in a list of solution processes, if it's not explicitly listed there as a separate step, it might appear like it's not a part of it.
In conclusion, dividing both sides by 12 is a necessary part of the solution, even if it wasn't emphasized in the steps shown in the problem.
[tex]\[ 4(3x - 6) = 24 \][/tex]
Here's how we can solve it:
1. Distribute the 4 to both terms inside the parentheses:
[tex]\[ 4 \times 3x = 12x \][/tex]
[tex]\[ 4 \times -6 = -24 \][/tex]
So, the equation becomes:
[tex]\[ 12x - 24 = 24 \][/tex]
2. Add 24 to both sides to eliminate the -24 on the left side:
[tex]\[ 12x - 24 + 24 = 24 + 24 \][/tex]
Simplifying both sides gives us:
[tex]\[ 12x = 48 \][/tex]
3. Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[ \frac{12x}{12} = \frac{48}{12} \][/tex]
This simplifies to:
[tex]\[ x = 4 \][/tex]
Now, looking at the steps:
- Step 1: Distribute the 4 to get [tex]\(12x - 24 = 24\)[/tex].
- Step 2: Add 24 to both sides to get [tex]\(12x = 48\)[/tex].
- Step 3: Divide both sides by 12 to solve for [tex]\(x = 4\)[/tex].
The steps include distributing, adding, and dividing to solve the equation.
To answer the question, "Which of these is not part of the solution process?" involves reviewing these steps. While dividing by 12 is necessary to isolate [tex]\(x\)[/tex] in this case, when provided in a list of solution processes, if it's not explicitly listed there as a separate step, it might appear like it's not a part of it.
In conclusion, dividing both sides by 12 is a necessary part of the solution, even if it wasn't emphasized in the steps shown in the problem.
