Question

Simplify. $$ 2 x-4 x+7 x-x $$

Name: Problem 40, Chapter 2: Elementary Algebra
Uploaded: 2022-01-24T01:11:51-08:00
Duration: 58 s
Channel: Karla Conrey
Description: Simplify. 2 x-4 x+7 x-x

   Simplify.
$$
2 x-4 x+7 x-x
$$

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 40

Instant Answer

Solved by Expert Karla Conrey

01/24/2022

Step 1

In this case, all the terms are like terms because they all contain the variable x. So, we have 2x, -4x, 7x, and -x (which is the same as -1x). Show more…

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Simplify. $$ 2 x-4 x+7 x-x $$

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Key Concepts

Algebraic Simplification

Algebraic simplification involves reducing expressions to their simplest form by combining like terms, performing arithmetic operations, and eliminating unnecessary parts. It helps in making problems easier to understand and solve.

Combining Like Terms

This is the process of consolidating terms in an algebraic expression that have the same variable raised to the same power by adding or subtracting their coefficients. It simplifies the expression and is a fundamental skill in solving algebraic problems.

Linear Expressions

A linear expression is an algebraic expression where each term is either a constant or the product of a constant and a single variable raised to the first power. Understanding linear expressions is essential for performing operations such as simplification and solving equations.

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