step 1 On this problem, we want to solve 10 times negative 2 x plus 1 is equal to negative 19 times x p

10(-2 x+1)=-19(x+1)

Name: Problem 89, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-20T20:16:00-08:00
Duration: 1 min 6 s
Channel: Christopher Stanley
Description: 10(-2 x+1)=-19(x+1)

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Key Concepts

Distributive Property

The distributive property is a fundamental algebraic rule that allows you to multiply a factor outside of a parenthesis by each term within the parenthesis. This property is used to expand expressions and simplify equations before combining like terms, ensuring that each term is correctly weighted by the factor applied.

Combining Like Terms

Combining like terms is an algebraic process used to simplify expressions by adding or subtracting coefficients of terms that have the same variable components. This process reduces expressions to simpler forms and is essential when isolating variables during the solution of equations.

Solving Linear Equations

Solving linear equations involves isolating the variable on one side of the equality to find its value. This process typically includes expanding expressions using the distributive property, combining like terms, and performing operations that maintain the balance of the equation, following the properties of equality.

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