Balancing Equations worksheet with ten math problems to solve by finding the missing number.

Let's solve each equation in the "Balancing Equations" worksheet step by step. The goal is to find the missing number (represented by a blank box) that makes both sides of the equation equal.

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Left Worksheet:

#### 1. $ 8 + \boxed{} = 17 - 3 $

- Right side: $ 17 - 3 = 14 $
- So: $ 8 + x = 14 $
- $ x = 14 - 8 = 6 $
✔ Answer: 6

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#### 2. $ 42 + \boxed{} = 99 - 13 $

- Right side: $ 99 - 13 = 86 $
- So: $ 42 + x = 86 $
- $ x = 86 - 42 = 44 $
✔ Answer: 44

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#### 3. $ 87 - \boxed{} = 22 + 45 $

- Right side: $ 22 + 45 = 67 $
- So: $ 87 - x = 67 $
- $ x = 87 - 67 = 20 $
✔ Answer: 20

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#### 4. $ 72 - \boxed{} = 100 - 56 $

- Right side: $ 100 - 56 = 44 $
- So: $ 72 - x = 44 $
- $ x = 72 - 44 = 28 $
✔ Answer: 28

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#### 5. $ 63 - \boxed{} = 75 - 13 $

- Right side: $ 75 - 13 = 62 $
- So: $ 63 - x = 62 $
- $ x = 63 - 62 = 1 $
✔ Answer: 1

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#### 6. $ 99 + 72 = 100 + \boxed{} $

- Left side: $ 99 + 72 = 171 $
- So: $ 100 + x = 171 $
- $ x = 171 - 100 = 71 $
✔ Answer: 71

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#### 7. $ 62 - 42 = 78 - \boxed{} $

- Left side: $ 62 - 42 = 20 $
- So: $ 78 - x = 20 $
- $ x = 78 - 20 = 58 $
✔ Answer: 58

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#### 8. $ 100 + 22 = 86 + \boxed{} $

- Left side: $ 100 + 22 = 122 $
- So: $ 86 + x = 122 $
- $ x = 122 - 86 = 36 $
✔ Answer: 36

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#### 9. $ 56 + \boxed{} = 82 + 27 $

- Right side: $ 82 + 27 = 109 $
- So: $ 56 + x = 109 $
- $ x = 109 - 56 = 53 $
✔ Answer: 53

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#### 10. $ 42 + 15 = 88 - \boxed{} $

- Left side: $ 42 + 15 = 57 $
- So: $ 88 - x = 57 $
- $ x = 88 - 57 = 31 $
✔ Answer: 31

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✔ Final Answers (Left Worksheet):

1. 6
2. 44
3. 20
4. 28
5. 1
6. 71
7. 58
8. 36
9. 53
10. 31

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Now, let’s check the Right Worksheet — it has the same problems but in a different layout.

Wait! Actually, looking closely, the right worksheet appears to have the same equations as the left one, just reordered and with slightly different numbering.

Let’s verify:

- Right Worksheet:
1. $ 8 + \boxed{} = 17 - 3 $ → Same as #1 → 6
2. $ 42 + \boxed{} = 99 - 13 $ → Same as #2 → 44
3. $ 87 - \boxed{} = 22 + 45 $ → Same as #3 → 20
4. $ 72 - \boxed{} = 100 - 56 $ → Same as #4 → 28
5. $ 63 - \boxed{} = 75 - 13 $ → Same as #5 → 1
6. $ 99 + 72 = 100 + \boxed{} $ → Same as #6 → 71
7. $ 62 - 42 = 78 - \boxed{} $ → Same as #7 → 58
8. $ 100 + 22 = 86 + \boxed{} $ → Same as #8 → 36
9. $ 56 + \boxed{} = 82 + 27 $ → Same as #9 → 53
10. $ 42 + 15 = 88 - \boxed{} $ → Same as #10 → 31

So both worksheets are identical in content, just formatted differently.

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✔ Final Answer Summary:

| Problem | Missing Number |
|--------|----------------|
| 1 | 6 |
| 2 | 44 |
| 3 | 20 |
| 4 | 28 |
| 5 | 1 |
| 6 | 71 |
| 7 | 58 |
| 8 | 36 |
| 9 | 53 |
| 10 | 31 |

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🧠 How to Solve These:

For each equation:
1. Simplify both sides where possible.
2. Find the value of the expression on one side.
3. Set up an equation with the unknown (box).
4. Solve for the missing number using basic arithmetic (addition/subtraction).

This helps students practice order of operations, equation balancing, and mental math.

Let me know if you'd like this turned into a printable answer key!