We appreciate your visit to Steps for solving tex 4 3x 6 24 tex are shown tex begin aligned 4 3x 6 24 quad text Original Equation 12x 24 24. 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 :
We are given the equation
[tex]$$
4(3x-6)=24.
$$[/tex]
Let’s solve it step by step and compare with the options.
1. Distribute the 4:
Multiply through the parentheses using the distributive property:
[tex]$$
4(3x-6) = 4 \cdot 3x - 4 \cdot 6 = 12x - 24.
$$[/tex]
2. Isolate the variable term:
Add 24 to both sides of the equation to eliminate the constant term on the left-hand side:
[tex]$$
12x-24+24 = 24+24 \quad \Longrightarrow \quad 12x = 48.
$$[/tex]
3. Solve for [tex]$x$[/tex]:
Divide both sides of the equation by 12:
[tex]$$
\frac{12x}{12} = \frac{48}{12} \quad \Longrightarrow \quad x = 4.
$$[/tex]
Now, let’s review the answer choices:
A. Adding 24 to both sides to isolate the variable term:
This step was used in step 2.
B. Using the distributive property:
This step was used in step 1.
C. Dividing both sides by 12 to isolate the variable:
This step was done in step 3.
D. Simplifying by combining variable terms:
There was no step where any variable terms were combined since there was only one variable term already.
Since option D is not used in the solution process, the correct answer is D.
[tex]$$
4(3x-6)=24.
$$[/tex]
Let’s solve it step by step and compare with the options.
1. Distribute the 4:
Multiply through the parentheses using the distributive property:
[tex]$$
4(3x-6) = 4 \cdot 3x - 4 \cdot 6 = 12x - 24.
$$[/tex]
2. Isolate the variable term:
Add 24 to both sides of the equation to eliminate the constant term on the left-hand side:
[tex]$$
12x-24+24 = 24+24 \quad \Longrightarrow \quad 12x = 48.
$$[/tex]
3. Solve for [tex]$x$[/tex]:
Divide both sides of the equation by 12:
[tex]$$
\frac{12x}{12} = \frac{48}{12} \quad \Longrightarrow \quad x = 4.
$$[/tex]
Now, let’s review the answer choices:
A. Adding 24 to both sides to isolate the variable term:
This step was used in step 2.
B. Using the distributive property:
This step was used in step 1.
C. Dividing both sides by 12 to isolate the variable:
This step was done in step 3.
D. Simplifying by combining variable terms:
There was no step where any variable terms were combined since there was only one variable term already.
Since option D is not used in the solution process, the correct answer is D.
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 quad text Original Equation 12x 24 24. 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
