Let's solve each of the simple equations step by step. The goal is to isolate the variable $ x $ on one side of the equation.
---
1. $ x + 4 = 7 $
Subtract 4 from both sides:
$$
x = 7 - 4 = 3
$$
✔ Answer: $ x = 3 $
---
2. $ x - 6 = 18 $
Add 6 to both sides:
$$
x = 18 + 6 = 24
$$
✔ Answer: $ x = 24 $
---
3. $ x + 7 = -12 $
Subtract 7 from both sides:
$$
x = -12 - 7 = -19
$$
✔ Answer: $ x = -19 $
---
4. $ 9 + x = -5 $
Subtract 9 from both sides:
$$
x = -5 - 9 = -14
$$
✔ Answer: $ x = -14 $
---
5. $ 6 = x - 7 $
Add 7 to both sides:
$$
x = 6 + 7 = 13
$$
✔ Answer: $ x = 13 $
---
6. $ -8 = x - 10 $
Add 10 to both sides:
$$
x = -8 + 10 = 2
$$
✔ Answer: $ x = 2 $
---
7. $ 5 + x = -25 $
Subtract 5 from both sides:
$$
x = -25 - 5 = -30
$$
✔ Answer: $ x = -30 $
---
8. $ -18 = x + 3 $
Subtract 3 from both sides:
$$
x = -18 - 3 = -21
$$
✔ Answer: $ x = -21 $
---
9. $ 6 = 4 - x $
Rewriting: $ 6 = 4 - x $
Subtract 4 from both sides:
$$
6 - 4 = -x \Rightarrow 2 = -x
$$
Multiply both sides by -1:
$$
x = -2
$$
✔ Answer: $ x = -2 $
---
10. $ x + 2 = -3 $
Subtract 2 from both sides:
$$
x = -3 - 2 = -5
$$
✔ Answer: $ x = -5 $
---
11. $ 7 = x - 8 $
Add 8 to both sides:
$$
x = 7 + 8 = 15
$$
✔ Answer: $ x = 15 $
---
12. $ 10 - x = 0 $
Subtract 10 from both sides:
$$
-x = -10
$$
Multiply both sides by -1:
$$
x = 10
$$
✔ Answer: $ x = 10 $
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✔ Final Answers:
| Equation | Solution |
|-----------------------|----------|
| $ x + 4 = 7 $ | $ x = 3 $ |
| $ x - 6 = 18 $ | $ x = 24 $ |
| $ x + 7 = -12 $ | $ x = -19 $ |
| $ 9 + x = -5 $ | $ x = -14 $ |
| $ 6 = x - 7 $ | $ x = 13 $ |
| $ -8 = x - 10 $ | $ x = 2 $ |
| $ 5 + x = -25 $ | $ x = -30 $ |
| $ -18 = x + 3 $ | $ x = -21 $ |
| $ 6 = 4 - x $ | $ x = -2 $ |
| $ x + 2 = -3 $ | $ x = -5 $ |
| $ 7 = x - 8 $ | $ x = 15 $ |
| $ 10 - x = 0 $ | $ x = 10 $ |
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Tip: Always perform the same operation on both sides to keep the equation balanced — just like the scale in the image! 🎯
Parent Tip: Review the logic above to help your child master the concept of solving simple equations worksheet.
