Question

Simplify. $$-7 x+3[x-(3-2 x)]$$

Name: Problem 145, Chapter 4: Prealgebra and Introductory Algebra
Uploaded: 2020-06-24T16:13:09-08:00
Duration: 1 min 3 s
Channel: Jeffrey Morris
Description: Simplify. -7 x+3[x-(3-2 x)]

   Simplify.
$$-7 x+3[x-(3-2 x)]$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 4, Problem 145

Instant Answer

Solved by Expert Jeffrey Morris

06/24/2020

Step 1

This gives us: $$-7x + 3[x - (3 - 2x)] = -7x + 3x - 3(3 - 2x)$$ Show more…

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Simplify. $$-7 x+3[x-(3-2 x)]$$

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Key Concepts

Distribution Property

The distribution property, also known as the distributive law, allows you to multiply a term by every term inside parentheses. This property is essential in algebra to expand expressions and remove parentheses so that further simplification steps, such as combining like terms, can be executed.

Combining Like Terms

In algebra, combining like terms involves summing terms that have the same variable components and exponents. This process simplifies expressions by reducing the total number of terms and making the structure of the expression clearer.

Handling Negative Signs and Parentheses

Understanding how to correctly manage negative numbers, particularly when they precede parentheses, is fundamental. It ensures that the signs of the terms inside the parentheses are correctly applied when the negative sign is distributed across them, which is crucial for accurate simplification of expressions.

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