Solve the equation. -4(x+6)=12

Name: Problem 15, Chapter 3: Algebra 1: Concepts and Skills
Uploaded: 2020-04-25T20:34:53-08:00
Duration: 26 s
Channel: Ramzi Deek
Description: Solve the equation. -4(x+6)=12

Key Concepts

Linear Equations

Linear equations are algebraic statements that involve variables raised to the first power and constants. They are characterized by graphing as straight lines and require finding the value of the variable that satisfies the equation. Solving a linear equation involves a series of steps to isolate the variable while preserving the equality.

Distributive Property

The distributive property allows you to eliminate parentheses by multiplying a term outside the parentheses by each term inside. It is applied to expressions of the form a(b + c), converting it into ab + ac, which simplifies equations and aids in the process of solving them.

Inverse Operations

Inverse operations are used in solving equations by performing operations that counteract each other, such as using division to cancel multiplication or subtraction to cancel addition. This technique helps in isolating the variable to determine its value.

Isolation of the Variable

Isolating the variable refers to the process of rearranging an equation so that the unknown variable is on one side by itself. This is achieved by applying inverse operations and simplifying the equation, which is a critical step in solving any algebraic equation.

Simplification of Expressions

Simplification involves reducing an expression to its simplest form by combining like terms and performing arithmetic operations in a correct order. This step is essential in making complex equations more manageable and preparing them for further solving steps.

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