Solve. -2+4 x+9=7 x+8-2 x

Name: Problem 29, Chapter 2: Elementary Algebra
Uploaded: 2022-01-22T22:57:46-08:00
Duration: 40 s
Channel: James Kiss
Description: Solve. -2+4 x+9=7 x+8-2 x

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Key Concepts

Isolating the Variable

Isolating the variable means rearranging the equation so that the variable appears on one side of the equation and the constants on the other. This is accomplished through inverse operations like addition, subtraction, multiplication, or division, allowing you to determine the value of the variable.

Balancing Equations

Balancing equations is the technique of performing the same operation on both sides of an equation to maintain equality. This concept ensures that the equation remains valid as you manipulate terms to solve for the unknown variable.

Combining Like Terms

Combining like terms involves grouping terms in an expression that have the same variable raised to the same power. This process simplifies the equation, making it easier to perform subsequent operations such as isolating the variable.

Linear Equations

A linear equation is an algebraic expression where the highest power of the variable is one, and its graph forms a straight line. Understanding linear equations is essential because they are the foundation for solving problems in algebra and modeling real-world situations in a straightforward way.

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