Question

Solve: $x+20=4 x-1+2 x$

Name: Problem 74, Chapter 6: Elementary and Intermediate Algebra
Uploaded: 2020-04-16T19:48:52-08:00
Duration: 36 s
Channel: Amy Jiang
Description: Solve: x+20=4 x-1+2 x

   Solve: $x+20=4 x-1+2 x$

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 6, Problem 74

Instant Answer

Solved by Expert Amy Jiang

04/16/2020

Step 1

This gives us $6x - 1 = x + 20$. Show more…

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Solve: $x+20=4 x-1+2 x$

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Key Concepts

Combining Like Terms

Combining like terms is the process of simplifying an equation by merging terms that have the same variable component. This step reduces the complexity of the equation and makes subsequent algebraic manipulations, such as isolating the variable, more straightforward.

Isolating the Variable

Isolating the variable involves rearranging the equation so that the term containing the variable is on one side of the equation, and the constants are on the other side. This is achieved through arithmetic operations such as addition, subtraction, multiplication, or division, and it ultimately allows for solving for the variable.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. These equations are characterized by the fact that the variable is raised only to the first power, leading to a straight-line graph when plotted.

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