Question

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

Name: Problem 33, Chapter 2: Elementary Algebra
Uploaded: 2022-01-22T23:01:26-08:00
Duration: 42 s
Channel: James Kiss
Description: Solve. 7 x-2+3 x=4+2 x-2

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

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 33

Instant Answer

Solved by Expert James Kiss

01/22/2022

Step 1

On the left side, combine $7x$ and $3x$ to get $10x$. On the right side, combine $4$ and $-2$ to get $2$. So, the equation becomes: $$ 10x - 2 = 2x + 2 $$ Show more…

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

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Key Concepts

Linear Equations

Linear equations are algebraic expressions that set polynomial expressions of degree one equal to each other. They involve finding the value of the variable that makes the equation true and are fundamental in algebra and many applied math scenarios.

Combining Like Terms

Combining like terms involves simplifying an algebraic expression by summing or subtracting coefficients of terms that have the same variable part. This process reduces the complexity of the equation and is essential for isolating the variable.

Properties of Equality

The properties of equality, such as adding, subtracting, multiplying, or dividing both sides of an equation by the same quantity, allow you to perform operations that maintain the balance of the equation while isolating the variable. These properties are crucial for systematically solving equations.

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