In this guide, we'll walk through Solve for x: -21x + 25 = 82 step by step. Whether you're revising for an exam or practising linear equations, this clear walkthrough will help you understand not just the answer, but the reasoning behind every step.

Quick Answer

x = 57/-21

Step-by-Step Solution

Step 1: Start with: -21x + 25 = 82

Step 2: Subtract 25: -21x = 57

Step 3: Divide by -21: x = 57/-21

Why This Works

This problem uses linear equations. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.

Understanding Linear Equations

Linear Equations is a fundamental concept in math. Mastering it gives you a strong foundation for more advanced topics.

Common Mistakes to Avoid

Mistake 1: Forgetting to apply the same operation to both sides of the equation.

Mistake 2: Making sign errors when moving terms across the equals sign.

Mistake 3: Not simplifying the final answer completely.

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Frequently Asked Questions

What is the answer to Solve for x: -21x + 25 = 82?

x = 57/-21

How do you solve linear equations problems?

This problem uses linear equations. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.

What are common mistakes in linear equations?

Forgetting to apply the same operation to both sides of the equation.

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