Question

Simplify by removing the inner parentheses first and working outward. $$ 7 x-[2 x-(-x-4)] $$

Name: Problem 58, Chapter 3: Intermediate Algebra
Uploaded: 2023-03-09T10:16:41-08:00
Duration: 1 min 21 s
Channel: Vysakh M
Description: Simplify by removing the inner parentheses first and working outward. 7 x-[2 x-(-x-4)]

   Simplify by removing the inner parentheses first and working outward.
$$
7 x-[2 x-(-x-4)]
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 58

Instant Answer

Solved by Expert Vysakh M

03/09/2023

Step 1

Step 1: First, we distribute the negative sign into the inner parentheses: $$ 7x - [2x - (-x - 4)] = 7x - [2x - (-x) - (-4)] $$ Show more…

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Simplify by removing the inner parentheses first and working outward. $$ 7 x-[2 x-(-x-4)] $$

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Key Concepts

Distributive Property of Negation

When a negative sign precedes a set of parentheses, it must be distributed to every term contained within. This step is crucial to avoid errors in sign and value when simplifying expressions that include subtraction of a group of terms.

Combining Like Terms

After removing the parentheses and applying the appropriate sign changes, the next step is to add or subtract the coefficients of terms that involve the same variable. This process simplifies the expression into its most reduced form by eliminating redundant or similar terms.

Removing Parentheses

This concept involves eliminating grouping symbols by correctly combining or modifying the terms inside them. In expressions with nested parentheses, one must start from the innermost set and work outward, ensuring that all operations, such as subtraction or multiplication by a negative sign, are correctly applied to the terms within the parentheses.

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