step 1 We want to solve the equation, 21 times x minus 7 equals 0. First, let's move the negative 7 bec

Solve: -4 x+7=-21.

Name: Problem 5, Chapter 3: Beginning and Intermediate Algebra: An Integrated Approach
Uploaded: 2022-01-22T21:18:40-08:00
Duration: 30 s
Channel: James Kiss
Description: Solve: -4 x+7=-21.

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Key Concepts

Properties of Equality

The properties of equality state that the same value can be added, subtracted, multiplied, or divided on both sides of an equation without changing the truth value of the equation. These properties are essential when performing operations to isolate the variable and solve the equation, ensuring that the balance of the equation is maintained throughout the process.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the first power. Solving a linear equation involves finding the value of the variable that makes the equation true, which is a fundamental aspect of algebra and is used in many real-world applications.

Inverse Operations

Inverse operations are techniques used to 'undo' an operation in order to isolate the variable. For example, if a number is added to the variable term, subtraction is used to reverse the operation, and if the variable is multiplied by a coefficient, division is used to cancel it. This concept is crucial for solving equations efficiently.

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