Solve each equation. q-(-2 q+3)=-5(q-3)-18

Name: Problem 76, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-05-17T02:08:20-08:00
Duration: 1 min 54 s
Channel: Jake Zanazzi
Description: Solve each equation. q-(-2 q+3)=-5(q-3)-18

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Key Concepts

Inverse Operations

Inverse operations are operations that 'undo' each other, such as addition vs. subtraction or multiplication vs. division. They are used to isolate variables in equations by systematically reversing operations applied to the variable, ultimately leading to its solution.

Combining Like Terms

Combining like terms involves adding or subtracting terms that have the same variable component. This process simplifies the equation by consolidating terms, making it easier to isolate the variable and solve the equation.

Linear Equations

Linear equations are equations that involve variables raised only to the first power. Solving them typically involves isolating the variable on one side to determine its value. This is a fundamental concept in algebra where the goal is to find the solution that makes the equation true.

Distributive Property

The distributive property allows you to remove parentheses by multiplying each term inside the parentheses by the factor outside. This property is essential in simplifying expressions and solving equations because it lets you break down complex expressions into manageable parts.

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