Solve the equations. 2 x+3(x-5)=15

Name: Problem 74, Chapter 1: Intermediate Algebra
Uploaded: 2020-06-16T06:37:11-08:00
Duration: 31 s
Channel: Ankit Gupta
Description: Solve the equations. 2 x+3(x-5)=15

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Key Concepts

Combining Like Terms

Combining like terms involves simplifying expressions by adding or subtracting terms that have the same variable components. This process reduces the complexity of the equation and is crucial for organizing and solving algebraic expressions more efficiently.

Linear Equations

Linear equations are algebraic expressions set equal to a value where the variable is raised only to the first power. They form the foundation of algebra and are used to model relationships with a constant rate of change, allowing for systematic solution methods such as substitution and elimination.

Distributive Property

The distributive property is a fundamental algebraic principle that states a term outside a parenthesis multiplied by a sum inside it can be distributed to each term within the parentheses. This property is essential for simplifying expressions and solving equations by eliminating grouped terms.

Isolation of the Variable

Isolation of the variable is a method used in solving equations by manipulating the equation algebraically so that the variable of interest stands alone on one side. This technique is central to finding the value of the variable and applies broadly across different types of algebraic equations.

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