step 1 And this problem, we want to solve 3x as equal to 2x plus 7. And order to solve this, let's get

3 x=2 x+7 | Numerade

Name: Problem 41, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-09T02:19:16-08:00
Duration: 24 s
Channel: Christopher Stanley
Description: 3 x=2 x+7

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Key Concepts

Linear Equations

Linear equations are equations where the highest power of the variable is one. They form straight lines when graphed and have a single solution, or possibly infinitely many or none, depending on their structure. This concept forms the foundation for understanding more advanced topics in algebra.

Isolating Variables

Isolating variables is a method used in solving equations whereby you rearrange the equation to get the variable by itself on one side. This is typically done by performing the same arithmetic operation on both sides of the equation to maintain equality.

Balancing Equations

Balancing equations involves ensuring that any operation performed on one side of the equation is also performed on the other side. This principle is crucial for preserving the equality and correctly solving for the unknown variable.

Algebraic Manipulation

Algebraic manipulation refers to the use of operations such as addition, subtraction, multiplication, and division to simplify and solve equations. Mastery of these operations is essential to transforming and solving linear equations effectively.

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