← Chapter 51 Chapter 52: Solving Linear Equations Chapter 53 →

Chapter 52: Solving Linear Equations

✏️ Explanation

Solving equations means finding the value of the unknown that makes the equation true.

🔍 Why It Matters

It's essential in algebra and real-world problem solving.

✏️ Worked Example

Solve: 2x + 3 = 9
Step 1: Subtract 3 from both sides
2x + 3 - 3 = 9 - 3
2x = 6
Step 2: Divide both sides by 2
2x ÷ 2 = 6 ÷ 2
x = 3

🔢 Practice Exercises

1. Solve: x + 5 = 12
Answer:
2. Solve: 3x = 15
Answer:
3. Solve: x/4 = 5
Answer:
4. Solve: 5x - 10 = 20
Answer:
5. Solve: 2x + 7 = 3x - 1
Answer:

⚠️ Common Mistakes

  • Doing operations in the wrong order
  • Forgetting to balance both sides

✨ Quick Summary

Isolate x by undoing operations step by step.