Solve each equation. 0.2(x+0.2)+0.5(x-0.4)=5.44

Name: Problem 28, Chapter 2: Intermediate Algebra
Uploaded: 2022-02-25T20:52:39-08:00
Duration: 54 s
Channel: Victor Salazar
Description: Solve each equation. 0.2(x+0.2)+0.5(x-0.4)=5.44

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Key Concepts

Working with Decimals

Working with decimals in equations requires careful arithmetic, as decimals can be manipulated using the same algebraic principles as whole numbers. Ensuring accuracy in operations—such as addition, subtraction, multiplication, and division—is crucial when solving equations that include decimal values.

Combining Like Terms

Combining like terms involves consolidating terms in an equation that have the same variable raised to the same power. This process simplifies the equation and makes it easier to isolate and solve for the variable.

Distributive Property

The distributive property allows you to multiply a single term by each term inside a parenthesis. This property is expressed as a(b + c) = ab + ac, and it is essential for simplifying expressions and solving equations.

Linear Equations

A linear equation is an equation in which the highest power of the variable is one. This class of equations represents straight lines when graphed and is typically solved by isolating the variable on one side of the equation.

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