step 1 Hello. So here to check if two is a solution, we could substitute in two, and we get six times t

6 x+2(x+3)=14 ; 2

Name: Problem 58, Chapter 1: Beginning and Intermediate Algebra
Uploaded: 2022-02-05T04:43:24-08:00
Duration: 39 s
Channel: Nick Johnson
Description: 6 x+2(x+3)=14 ; 2

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Key Concepts

Linear Equations

A linear equation is an equation that models a straight line and typically has the variable raised only to the first power. The goal is to manipulate the equation so that the variable can be isolated on one side, yielding a unique solution that satisfies the equality.

Distributive Property

The distributive property is a fundamental algebraic principle that allows you to multiply a single term by each term within a parenthesis. In algebraic expressions, it is used to expand expressions like a(b + c) into ab + ac, which simplifies the process of combining like terms.

Combining Like Terms

Combining like terms involves consolidating terms in an expression that have the same variable parts. This process reduces the expression to a simpler form by adding or subtracting the coefficients of these similar terms, which is vital for simplifying and solving equations effectively.

Inverse Operations

Inverse operations are mathematical operations that undo each other, such as addition and subtraction or multiplication and division. They are used systematically in solving equations by isolating the variable, ensuring that each operation applied to one side of the equation is countered by the inverse operation on the other side.

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