We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Certainly! Let's go through the solution process for the equation [tex]\(4(3x - 6) = 24\)[/tex] and identify which step does not belong to the process:
Step-by-Step Solution:
1. Original Equation:
[tex]\[
4(3x - 6) = 24
\][/tex]
This is the starting equation.
2. Step 1: Use the Distributive Property (Option A):
- Apply the distributive property to expand:
[tex]\[
4 \times (3x) - 4 \times 6 = 12x - 24
\][/tex]
- The equation then becomes:
[tex]\[
12x - 24 = 24
\][/tex]
3. Step 2: Add 24 to Both Sides (Option D):
- To start isolating the variable term, add 24 to both sides of the equation:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]
- Simplifying both sides, we get:
[tex]\[
12x = 48
\][/tex]
4. Step 3: Divide Both Sides by 12 (Option B):
- 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]
5. Conclusion:
- The solution [tex]\(x = 4\)[/tex] is achieved by applying the steps above.
Identifying the Step Not Part of the Process:
- Option C: Simplifying by Combining Variable Terms
- In this equation, there is no step where we need to combine variable terms like [tex]\(x\)[/tex] because the equation starts and continues with a single term [tex]\(12x\)[/tex]. Therefore, simplifying by combining variable terms is not part of this solution process.
Thus, the step that is not part of the solution process is Option C: Simplifying by combining variable terms.
Step-by-Step Solution:
1. Original Equation:
[tex]\[
4(3x - 6) = 24
\][/tex]
This is the starting equation.
2. Step 1: Use the Distributive Property (Option A):
- Apply the distributive property to expand:
[tex]\[
4 \times (3x) - 4 \times 6 = 12x - 24
\][/tex]
- The equation then becomes:
[tex]\[
12x - 24 = 24
\][/tex]
3. Step 2: Add 24 to Both Sides (Option D):
- To start isolating the variable term, add 24 to both sides of the equation:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]
- Simplifying both sides, we get:
[tex]\[
12x = 48
\][/tex]
4. Step 3: Divide Both Sides by 12 (Option B):
- 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]
5. Conclusion:
- The solution [tex]\(x = 4\)[/tex] is achieved by applying the steps above.
Identifying the Step Not Part of the Process:
- Option C: Simplifying by Combining Variable Terms
- In this equation, there is no step where we need to combine variable terms like [tex]\(x\)[/tex] because the equation starts and continues with a single term [tex]\(12x\)[/tex]. Therefore, simplifying by combining variable terms is not part of this solution process.
Thus, the step that is not part of the solution process is Option C: Simplifying by combining variable terms.
Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
