College

Which of these is not part of the solution process?

[tex]
\[
\begin{aligned}
4(3x - 6) & = 24 & \quad \text{Original Equation} \\
12x - 24 & = 24 & \quad \text{Step 1} \\
12x - 24 + 24 & = 24 + 24 & \quad \text{Step 2} \\
12x & = 48 & \quad \text{Step 3} \\
\frac{12x}{12} & = \frac{48}{12} & \quad \text{Step 4} \\
x & = 4 & \quad \text{Step 5}
\end{aligned}
\]
[/tex]

Answer :

To solve the equation [tex]\(4(3x - 6) = 24\)[/tex], let's go through each step logically to make sure we understand the process clearly:

1. Original Equation:
[tex]\[
4(3x - 6) = 24
\][/tex]

2. Step 1: Distribute the 4 across the terms inside the parentheses:
[tex]\[
12x - 24 = 24
\][/tex]

3. Step 2: Add 24 to both sides to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]

Simplifying both sides gives:
[tex]\[
12x = 48
\][/tex]

4. Step 3: Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{12x}{12} = \frac{48}{12}
\][/tex]

Simplifying gives:
[tex]\[
x = 4
\][/tex]

Through examining each step, we see that all steps logically lead to the solution. Therefore, each step provided is indeed part of the solution process for finding the value of [tex]\(x\)[/tex]. There are no extra or incorrect steps.