Question

Solve: $5(2 x-3)-4 x=9$

Name: Problem 92, Chapter 6: Precalculus
Uploaded: 2021-09-04T04:39:19-08:00
Duration: 54 s
Channel: Yujie Wang
Description: Solve: 5(2 x-3)-4 x=9

   Solve: $5(2 x-3)-4 x=9$

Precalculus

Robert Blitzer 6th Edition

Chapter 6, Problem 92

Instant Answer

Solved by Expert Yujie Wang

09/04/2021

Step 1

So, the equation becomes: $10x - 15 - 4x = 9$. Show more…

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Solve: $5(2 x-3)-4 x=9$

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Key Concepts

Distributive Property

The distributive property allows you to multiply a single term across terms inside parentheses. It is used to expand algebraic expressions and simplify equations by transforming an expression like a(b + c) into ab + ac.

Combining Like Terms

Combining like terms involves summing or subtracting terms that have the same variable part or are constants. This simplification step reduces the complexity of an expression, making it easier to isolate and solve for the variable.

Solving Linear Equations

Solving linear equations requires isolating the variable through a series of algebraic manipulations, such as distributing multiplication, combining like terms, and applying inverse operations like addition or division. This systematic approach is fundamental in determining the value of the variable in any first-degree equation.

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