Linear equations with x on both sides – Grade 8
Systematically solve linear equations with x on both sides and recognise special cases. Create a free worksheet or try an online test.
🎯 What you will learn
- ✓organise variable terms
- ✓justify equivalent transformations
- ✓recognise no or infinite solutions
💡 How it works
Move all x terms to one side and constants to the other. Prefer the side that keeps x positive.
✍️ Worked examples
Worked examples 1
5x + 7 = 2x + 25
- 1.Subtract 2x: 3x + 7 = 25
- 2.−7: 3x = 18
- 3.÷3: x = 6
✓ x = 6
Worked examples 2
4(x + 1) = 2x + 18
- 1.Expand: 4x + 4 = 2x + 18
- 2.−2x and −4: 2x = 14
- 3.÷2: x = 7
✓ x = 7
📝 Try it yourself
1.
7x − 5 = 3x + 19
Show answer
x = 6
2.
3(x + 4) = x + 20
Show answer
x = 4
3.
6x + 8 = 4x + 30
Show answer
x = 11
Create matching questions
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