Which property justifies the work between steps 7 and 8?Additive InverseMultiplicative IdentityAddition Property of EqualityAdditive IdentitySymmetric Property of EqualityAssociative Property The given mathematical problem involves solving for \( x \) using algebraic manipulation. Here is a step-by-step transcription of the process:**Given:**\[ 4(x - 1) = 10x + 2 \]**Step 1:**\[ 10x + 2 = 4(x - 1) \]**Step 2:**\[ 10x + 2 = 4x - 4 \]**Step 3:**\[ 10x + 2 - 4x = 4x - 4 - 4x \]**Step 4:**\[ 10x - 4x + 2 = 4x - 4x - 4 \]**Step 5:**\[ 6x + 2 = -4 \]**Step 6:**\[ 6x + 2 = -4 - 2 \]**Step 7:**\[ 6x + 0 = -6 \]**Step 8:**\[ 6x = -6 \]**Step 9:**\[ 6x \left( \frac{1}{6} \right) = -6 \left( \frac{1}{6} \right) \]**Step 10:**\[ 1x = -1 \]**Step 11:**\[ x = -1 \]This solution follows through distributing, combining like terms, and isolating \( x \) to find its value. Each step shows the transformation of the equation through operations like distribution, addition, subtraction, and division.

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Answered: Which property justifies the work…

Which property justifies the work between steps 7 and 8? Additive Inverse Multiplicative Identity Addition Property of Equality Additive Identity Symmetric Property of Equality Associative Property

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

Which property justifies the work between steps 7 and 8?

Additive Inverse

Multiplicative Identity

Addition Property of Equality

Additive Identity

Symmetric Property of Equality

Associative Property

The given mathematical problem involves solving for \( x \) using algebraic manipulation. Here is a step-by-step transcription of the process:

**Given:**
\[ 4(x - 1) = 10x + 2 \]

**Step 1:**
\[ 10x + 2 = 4(x - 1) \]

**Step 2:**
\[ 10x + 2 = 4x - 4 \]

**Step 3:**
\[ 10x + 2 - 4x = 4x - 4 - 4x \]

**Step 4:**
\[ 10x - 4x + 2 = 4x - 4x - 4 \]

**Step 5:**
\[ 6x + 2 = -4 \]

**Step 6:**
\[ 6x + 2 = -4 - 2 \]

**Step 7:**
\[ 6x + 0 = -6 \]

**Step 8:**
\[ 6x = -6 \]

**Step 9:**
\[ 6x \left( \frac{1}{6} \right) = -6 \left( \frac{1}{6} \right) \]

**Step 10:**
\[ 1x = -1 \]

**Step 11:**
\[ x = -1 \]

This solution follows through distributing, combining like terms, and isolating \( x \) to find its value. Each step shows the transformation of the equation through operations like distribution, addition, subtraction, and division.

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