**Problem:** What if you had an equation written like \( x + (-4) = 8 \)?**Solution:** Remember that a plus negative is the same as subtraction, so we could rewrite our equation as \( x - 4 = 8 \). Now it is easy to tell what we would need to do to solve, use the Addition Property of Equality to add 4 to both sides.\[ x - 4 = 8 \]\[ x - 4 + 4 = 8 + 4 \]\[ x = \]How about a problem that looks like this: \( x - (-4) = 8 \)? Is it the same as the problem above?This problem is subtracting a negative which is actually the same as adding a positive. You may have heard the phrase "Keep, Flip, Change". We keep \( x \) the same, flip the negative sign to a \( + \), and change the \(-4\) to a 4. Now we have \( x + 4 = 8 \) and can easily solve this equation for \( x \) by using the Subtraction Property of Equality.\[ x + 4 = 8 \]\[ x + 4 = 8 \]\[ x = \]Equations that take one step to isolate the variable are called one-step equations. Such equations can also involve multiplication or division.---In the provided diagrams:1. The first diagram shows the step-by-step transformation of the equation \( x - 4 = 8 \). - First, \( x - 4 = 8 \). - Then, \( x - 4 + 4 = 8 + 4 \). - Finally, \( x = \). 2. The second diagram shows the transformation of the equation \( x - (-4) = 8 \) through the "Keep, Flip, Change" method. - First, \( x - (-4) = 8 \). - Then, after applying "Keep, Flip, Change," it becomes \( x + 4 = 8 \). - Finally, \( x = \).Both explain how to solve the equations using properties of equality to isolate x.

Answered: Image /qna-images/answer/69ea567c-c804-4f04-96b2-2173836edd3f.jpg

Problem: What if you had an equation written like x + (-4)= 8? Solution: Remember that a plus negative is the same as subtraction, so we could rewrite our equation as a -4 = 8. Now it is easy to tell what we would need to do to solve, use the Addition Property of Equality to add 4 to both sides. *4=8 x 4+4=8+4 - x = How about a problem that looks like this: - (-4)= 8? Is it the same as the problem above? This problem is subtracting a negative which is actually the same as adding a positive. You may have heard the phrase "Keep, Flip, Change". We keep & the same, flip the negative sign to a +, and change the -4 to a 4. Now we have x + 4 = 8 and can easily solve this equation for a by using the Subtraction Property of Equality. x + 4 = 8 x+4 = 8 x = Equations that take one step to isolate the variable are called one-step equations. Such equations can also involve multiplication or division.

Problem: What if you had an equation written like x + (-4)= 8? Solution: Remember that a plus negative is the same as subtraction, so we could rewrite our equation as a -4 = 8. Now it is easy to tell what we would need to do to solve, use the Addition Property of Equality to add 4 to both sides. *4=8 x 4+4=8+4 - x = How about a problem that looks like this: - (-4)= 8? Is it the same as the problem above? This problem is subtracting a negative which is actually the same as adding a positive. You may have heard the phrase "Keep, Flip, Change". We keep & the same, flip the negative sign to a +, and change the -4 to a 4. Now we have x + 4 = 8 and can easily solve this equation for a by using the Subtraction Property of Equality. x + 4 = 8 x+4 = 8 x = Equations that take one step to isolate the variable are called one-step equations. Such equations can also involve multiplication or division.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Problem:** What if you had an equation written like \( x + (-4) = 8 \)?

**Solution:** Remember that a plus negative is the same as subtraction, so we could rewrite our equation as \( x - 4 = 8 \). Now it is easy to tell what we would need to do to solve, use the Addition Property of Equality to add 4 to both sides.

\[ x - 4 = 8 \]

\[ x - 4 + 4 = 8 + 4 \]

\[ x = \]

How about a problem that looks like this: \( x - (-4) = 8 \)? Is it the same as the problem above?

This problem is subtracting a negative which is actually the same as adding a positive. You may have heard the phrase "Keep, Flip, Change". We keep \( x \) the same, flip the negative sign to a \( + \), and change the \(-4\) to a 4. Now we have \( x + 4 = 8 \) and can easily solve this equation for \( x \) by using the Subtraction Property of Equality.

\[ x + 4 = 8 \]

\[ x + 4 = 8 \]

\[ x = \]

Equations that take one step to isolate the variable are called one-step equations. Such equations can also involve multiplication or division.

---

In the provided diagrams:

1. The first diagram shows the step-by-step transformation of the equation \( x - 4 = 8 \).
- First, \( x - 4 = 8 \).
- Then, \( x - 4 + 4 = 8 + 4 \).
- Finally, \( x = \).

2. The second diagram shows the transformation of the equation \( x - (-4) = 8 \) through the "Keep, Flip, Change" method.
- First, \( x - (-4) = 8 \).
- Then, after applying "Keep, Flip, Change," it becomes \( x + 4 = 8 \).
- Finally, \( x = \).

Both explain how to solve the equations using properties of equality to isolate x.

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