Question

$10 x+5 x+7-4=12 x+3+2 x$

Name: Problem 73, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-13T11:38:41-08:00
Duration: 1 min 9 s
Channel: Christopher Stanley
Description: 10 x+5 x+7-4=12 x+3+2 x

   $10 x+5 x+7-4=12 x+3+2 x$

Beginning and Intermediate Algebra

Margaret L. Lial,… 7th Edition

Chapter 2, Problem 73

Instant Answer

Solved by Expert Christopher Stanley

02/13/2022

Step 1

On the left side, we have $10x + 5x$ which gives us $15x$, and $7 - 4$ which gives us $3$. On the right side, we have $12x + 2x$ which gives us $14x$, and $3$. So, the equation becomes: \[15x + 3 = 14x + 3\] Show more…

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$10 x+5 x+7-4=12 x+3+2 x$

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Key Concepts

Combining Like Terms

This concept involves simplifying an expression by summing or subtracting terms that share the same variable and exponent. It is essential in reducing the equation to a more manageable form before solving, as it consolidates similar parts of the expression into a single term.

Properties of Equality

The properties of equality allow one to perform equivalent operations on both sides of an equation without changing its solution. These operations, including addition, subtraction, multiplication, and division, maintain the balance of the equation and are fundamental in the process of isolating the variable.

Linear Equations

Linear equations are algebraic equations in which the highest power of the variable is one. They involve variables raised only to the first power and can be solved using systematic steps such as combining like terms and isolating the variable on one side of the equation.

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