Equations with brackets – Grade 7
Expand brackets, collect like terms and solve linear equations step by step. Create a free worksheet or try an online test.
🎯 What you will learn
- ✓distribute signs correctly
- ✓collect like terms
- ✓check the solution
💡 How it works
Expand brackets using the distributive law, collect like terms and then isolate x.
✍️ Worked examples
Worked examples 1
3(x + 2) = 21
- 1.Expand: 3x + 6 = 21
- 2.−6: 3x = 15
- 3.÷3: x = 5
✓ x = 5
Worked examples 2
2(x − 4) + 6 = 16
- 1.2x − 8 + 6 = 16
- 2.Collect: 2x − 2 = 16
- 3.+2 and ÷2: x = 9
✓ x = 9
📝 Try it yourself
1.
4(x + 1) = 28
Show answer
x = 6
2.
3(x − 2) + 5 = 20
Show answer
x = 7
3.
2(x + 5) − 4 = 18
Show answer
x = 6
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