Results for "3p=5-2p"

The equation 3p=5-2p represents a linear equation in one variable, where 'p' is the variable to solve for. It can be simplified to find the value of 'p'.

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Introduction

Understanding how to solve equations like 3p=5-2p is essential for anyone looking to improve their mathematical skills. This equation is a linear equation, which means it can be solved using basic algebraic principles. To solve for 'p', you can start by isolating the variable on one side of the equation. Here’s a step-by-step guide to help you: 1. **Combine like terms**: Start by adding 2p to both sides of the equation. This gives you:
3p + 2p = 5
5p = 5 2. **Divide both sides by 5**: Now, divide both sides by 5 to solve for 'p'. This results in:
p = 1 3. **Check your work**: Always substitute 'p' back into the original equation to ensure your solution is correct. This confirms that both sides of the equation are equal. Solving equations like this can help build a strong foundation in algebra, which is crucial for various applications in real life, including budgeting, engineering, and data analysis. Whether you are a student or just someone looking to brush up on their math skills, mastering equations will boost your confidence and abilities. If you’re interested in learning more about algebra or need resources to help with your studies, consider checking out books or online courses that focus on foundational mathematics. Proven quality resources are available to support your learning journey and help you become adept at solving equations efficiently.

FAQs

How can I solve the equation 3p=5-2p?

To solve 3p=5-2p, first add 2p to both sides to get 5p=5, then divide both sides by 5, resulting in p=1.

What does it mean to isolate a variable in an equation?

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.

Are there common mistakes when solving linear equations?

Yes, common mistakes include forgetting to perform the same operation on both sides or miscalculating when combining like terms.

Why is it important to check your work after solving an equation?

Checking your work helps ensure that your solution is correct and that both sides of the equation are equal, preventing errors.

What resources can help me improve my algebra skills?

Consider using textbooks, online courses, or educational websites that offer practice problems and explanations to strengthen your algebra skills.