← Chapter 52 Chapter 53: Solving Equations with Brackets Chapter 54 →

Chapter 53: Solving Equations with Brackets

✏️ Explanation

To solve equations with brackets, first expand the brackets, then collect like terms, and finally isolate the variable.

🔍 Why It Matters

Many real-world problems lead to equations with brackets that need systematic solving.

✏️ Worked Example

Solve: 3(x + 2) = 15
Step 1: Expand the brackets
3(x + 2) = 3x + 6
Step 2: Subtract 6 from both sides
3x + 6 = 15
3x = 9
Step 3: Divide both sides by 3
x = 3

🔢 Practice Exercises

1. Solve: 2(x + 4) = 18
Answer:
2. Solve: 5(y - 3) = 20
Answer:
3. Solve: 4(2a + 1) = 28
Answer:
4. Solve: 3(x + 5) - 7 = 23
Answer:
5. Solve: 2(3x - 4) = 4x + 8
Answer:

⚠️ Common Mistakes

  • Not expanding brackets completely
  • Sign errors when expanding
  • Forgetting to balance both sides

✨ Quick Summary

Expand first, then solve as normal. Always check your answer by substituting back.