Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 3OE
Related questions
Question
![**Problem Statement:**
What is the solution of this equation?
\[ x = 5x + 6 \]
**Answer Choices:**
1. \(\frac{-3}{2}\)
2. \(-1\)
3. \(1\)
4. \(\frac{3}{2}\)
**Explanation:**
You are given the equation \( x = 5x + 6 \). To solve for \( x \), follow these steps:
1. Start with the given equation:
\[ x = 5x + 6 \]
2. Subtract \( 5x \) from both sides to get all \( x \) terms on one side of the equation:
\[ x - 5x = 5x - 5x + 6 \]
\[ -4x = 6 \]
3. Divide both sides by \(-4\) to isolate \( x \):
\[ x = \frac{6}{-4} \]
\[ x = \frac{-3}{2} \]
Thus, the solution is:
\[ x = \frac{-3}{2} \]
Select the answer:
\[ \frac{-3}{2} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8811b899-c772-4f2a-9a40-f8158776e41a%2F78a5148e-1f8c-44eb-ba88-2aed4ecced35%2Fx9yfy0r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
What is the solution of this equation?
\[ x = 5x + 6 \]
**Answer Choices:**
1. \(\frac{-3}{2}\)
2. \(-1\)
3. \(1\)
4. \(\frac{3}{2}\)
**Explanation:**
You are given the equation \( x = 5x + 6 \). To solve for \( x \), follow these steps:
1. Start with the given equation:
\[ x = 5x + 6 \]
2. Subtract \( 5x \) from both sides to get all \( x \) terms on one side of the equation:
\[ x - 5x = 5x - 5x + 6 \]
\[ -4x = 6 \]
3. Divide both sides by \(-4\) to isolate \( x \):
\[ x = \frac{6}{-4} \]
\[ x = \frac{-3}{2} \]
Thus, the solution is:
\[ x = \frac{-3}{2} \]
Select the answer:
\[ \frac{-3}{2} \]
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Elementary Algebra](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning