College

Steps for solving [tex]4(3x-6)=24[/tex] are shown:

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

Which of these is not part of the solution process?

Answer :

To solve the equation [tex]\(4(3x - 6) = 24\)[/tex], let's go through the steps and identify which one is not necessary.

1. Original Equation:
[tex]\[
4(3x - 6) = 24
\][/tex]
2. Step 1 - Distribute:
Multiply 4 with each term inside the parentheses:
[tex]\[
12x - 24 = 24
\][/tex]
3. Step 2 - Add 24 to Both Sides:
This step involves adding 24 to both sides of the equation:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]
Simplifying this gives:
[tex]\[
12x = 48
\][/tex]

Note: While it's mathematically correct, adding 24 to both sides isn't necessary for solving this particular equation directly. You could go to the next step directly from Step 1 without any addition.

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

In conclusion, the unnecessary part of the solution process is Step 2, which involves adding 24 to both sides. You don't need that step to solve this equation.