Solve each equation. 4(2 x-2)-3(x+7)=-4

Name: Problem 81, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-04-26T22:03:12-08:00
Duration: 1 min 26 s
Channel: Julie Silva
Description: Solve each equation. 4(2 x-2)-3(x+7)=-4

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Key Concepts

Linear Equations

A linear equation is an equation of the first degree, meaning it involves only the first powers of the variable(s). It is characterized by its general form, ax + b = c, and solving it typically involves finding the value of the variable that satisfies the equality.

Distributive Property

The distributive property allows one to multiply a single term across terms inside a parentheses. It is used to eliminate parentheses by applying the multiplication to each term inside, which is crucial for simplifying and solving equations.

Combining Like Terms

Combining like terms involves summing coefficients of terms that have the same variable part in order to simplify an algebraic expression. This process helps in reducing the equation to a simpler form, making it easier to isolate the variable.

Isolating the Variable

Isolating the variable means performing algebraic operations to get the variable on one side of the equation by itself. This concept is key to solving linear equations, allowing you to determine the numerical value of the unknown.

Inverse Operations

Inverse operations refer to operations that undo each other, such as addition and subtraction or multiplication and division. They are used to systematically reverse operations applied to the variable, facilitating the process of isolating the variable.

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