step 1 Here we want to solve negative 7 is equal to x minus 22. And we're going to solve this, we need

-7=x-22 | Numerade

Name: Problem 32, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-07T23:10:50-08:00
Duration: 25 s
Channel: Christopher Stanley
Description: -7=x-22

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Key Concepts

Linear Equation

A linear equation is an equation that represents a straight line when graphed and has a constant rate of change. It typically involves variables raised only to the first power and can be solved to find the value of the unknown that makes the equation true.

Properties of Equality

The properties of equality are fundamental rules used to solve equations. They state that if equal values are added, subtracted, multiplied, or divided on both sides of an equation, the equality is preserved. This principle ensures that the solution process does not change the balance of the equation.

Isolation of the Variable

Isolating the variable involves rearranging an equation so that the unknown appears alone on one side. This is typically achieved by performing inverse operations such as addition, subtraction, multiplication, or division, enabling the determination of the variable's value.

Addition/Subtraction Property of Equality

This property states that if the same value is added to or subtracted from both sides of an equation, the equality remains valid. It is crucial in the process of isolating the variable by eliminating constant terms from the side where the variable is located.

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