Question

Solve each equation. $3 x+4(2-x)=4 x+5$

Name: Problem 71, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2022-02-25T20:31:50-08:00
Duration: 1 min 18 s
Channel: Bailey Radel
Description: Solve each equation. 3 x+4(2-x)=4 x+5

   Solve each equation. $3 x+4(2-x)=4 x+5$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 2, Problem 71

Instant Answer

Solved by Expert Bailey Radel

02/25/2022

Step 1

$3x + 4(2-x) = 3x + 8 - 4x$ Show more…

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Solve each equation. $3 x+4(2-x)=4 x+5$

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Key Concepts

Solving Linear Equations

This is the process of finding the value of an unknown that makes the equation true. It typically involves isolating the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, and division after simplifying the equation through distribution and combining like terms.

Combining Like Terms

Combining like terms involves merging terms that have the same variable components. This process simplifies an equation by consolidating similar terms and reducing the complexity of the expression, which is crucial in solving for the unknown.

Distributive Property

This property allows you to multiply a single term across terms inside parentheses. It is a key tool for removing parentheses in an equation by distributing the multiplier to each term inside, which simplifies the equation and prepares it for further manipulation.

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