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.
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.
