Solve each equation. -3(6-4 x)=4-{5 x-[6 x-(4 x-(3 x+2))]} |...

Name: Problem 92, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-07-16T15:35:03-08:00
Duration: 37 s
Channel: Xiaomeng Zhang
Description: Solve each equation. -3(6-4 x)=4-{5 x-[6 x-(4 x-(3 x+2))]}

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Key Concepts

Solving Linear Equations

Solving linear equations involves isolating the variable on one side of the equation through a series of algebraic manipulations. This process typically includes the application of the distributive property, simplifying nested expressions, combining like terms, and maintaining equality through balanced operations on both sides of the equation.

Simplification of Nested Parentheses

This concept involves simplifying expressions that contain multiple levels of parentheses or other grouping symbols. The process requires working from the innermost grouping outward, ensuring that each level is simplified before addressing the next, which is essential for accurately reducing complex expressions.

Distributive Property

The distributive property allows the multiplication of a term across a sum or difference inside parentheses. This property is crucial when an expression involves multiplication with terms inside grouping symbols, as it facilitates the expansion and simplification of expressions.

Combining Like Terms

Combining like terms is the process of simplifying expressions by adding or subtracting terms that have the same variable components. By reducing the number of terms, it becomes easier to manipulate and ultimately solve the equation by focusing on the variable coefficients.

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