## Podcast Beta

## Questions and Answers

What is the general form of a first-degree equation?

What is the solution to the equation 2x - 5 = 3x + 1?

Which of the following is a valid step in solving the equation 4(x + 3) = 2x - 5?

What is the first step in solving the equation 3x - 7 = 2x + 5?

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What is the solution to the equation 2(3x - 4) = 5x + 6?

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Which of the following is a valid step in solving the equation 4x - 8 = 2(3x + 1)?

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## Study Notes

### First-Degree Equations

- A first-degree equation, also known as a linear equation, is represented in the form
**Ax + B = C**, where**A**,**B**, and**C**are constants and**x**is the variable.

### Solution to Specific Equations

- The solution to the equation
**2x - 5 = 3x + 1**is found by isolating**x**, resulting in**x = -6**. - For the equation
**3x - 7 = 2x + 5**, the first step is typically to rearrange it to isolate**x**, usually by subtracting**2x**from both sides, yielding**x - 7 = 5**.

### Valid Steps in Solving Equations

- In solving the equation
**4(x + 3) = 2x - 5**, distributing the**4**on the left side is a valid first step. - In the equation
**4x - 8 = 2(3x + 1)**, a valid step includes distributing**2**on the right side, transforming it to**4x - 8 = 6x + 2**.

### Additional Solutions

- The equation
**2(3x - 4) = 5x + 6**simplifies by distributing**2**, leading to**6x - 8 = 5x + 6**, which can be solved to find**x = 14**.

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## Description

Test your knowledge of first-degree equations with this quiz. Explore the general form of these equations and solve problems involving linear equations. Practice solving equations step by step and enhance your understanding of this fundamental algebraic concept.