Question

Solve. $$ -x-2+4 x=5+3 x-7 $$

Name: Problem 37, Chapter 2: Elementary Algebra
Uploaded: 2022-01-22T23:05:18-08:00
Duration: 37 s
Channel: James Kiss
Description: Solve. -x-2+4 x=5+3 x-7

   Solve.
$$
-x-2+4 x=5+3 x-7
$$

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 37

Instant Answer

Solved by Expert James Kiss

01/22/2022

Step 1

On the left side, combine $-x$ and $4x$ to get $3x$. On the right side, combine $5$ and $-7$ to get $-2$. So, the equation becomes: $$ 3x - 2 = 3x - 2 $$ Show more…

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Solve. $$ -x-2+4 x=5+3 x-7 $$

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Key Concepts

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 have no exponents greater than one and typically represent straight lines when graphed. Solving them involves finding the value of the variable that makes the equation true.

Combining Like Terms

Combining like terms is a fundamental technique in algebra that simplifies expressions by consolidating terms that have the same variable components. This process reduces the equation to a simpler form, making it easier to isolate the variable and solve the equation.

Inverse Operations

Inverse operations are techniques used to undo arithmetic operations in order to isolate the variable in an equation. For example, addition is undone by subtraction, and multiplication is undone by division. This concept is essential for systematically solving equations.

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