(1)/(5) x+7=-(4)/(5) x

Name: Problem 48, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-12T16:19:34-08:00
Duration: 32 s
Channel: Christopher Stanley
Description: (1)/(5) x+7=-(4)/(5) x

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Key Concepts

Isolating the Variable

Isolating the variable means rearranging the equation so that the variable of interest stands alone on one side of the equation. This typically involves applying inverse operations such as addition, subtraction, multiplication, or division to both sides of the equation.

Linear Equations

A linear equation is a mathematical statement where each term is either a constant or the product of a constant and a variable raised to the first power. Solving a linear equation involves determining the value of the variable that makes the equation true.

Combining Like Terms

Combining like terms refers to the process of simplifying expressions by merging terms that have the same variable components. This is an essential step in reducing equations, making subsequent operations more straightforward.

Arithmetic with Fractions

When linear equations include fractions, it is important to manage them carefully by finding common denominators or multiplying both sides by the least common multiple. Handling fractions properly avoids errors and simplifies the process of solving the equation.

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