Printable math worksheet for solving addition and subtraction equations with variables, designed for students to practice algebraic problem-solving.

Let's solve each equation step by step. The goal is to solve for $ x $ in each addition and subtraction equation.

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1. $ x + 27 = 48 $

Subtract 27 from both sides:
$ x = 48 - 27 $
$ x = 21 $

✔ Answer: $ x = 21 $

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2. $ x + 10 = 17 $

Subtract 10 from both sides:
$ x = 17 - 10 $
$ x = 7 $

✔ Answer: $ x = 7 $

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3. $ x - 73 = 17 $

Add 73 to both sides:
$ x = 17 + 73 $
$ x = 90 $

✔ Answer: $ x = 90 $

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4. $ x - 73 = 144 $

Add 73 to both sides:
$ x = 144 + 73 $
$ x = 217 $

✔ Answer: $ x = 217 $

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5. $ 10 - x = 77 $

We want to isolate $ x $. First, subtract 10 from both sides:
$ -x = 77 - 10 $
$ -x = 67 $

Now multiply both sides by -1:
$ x = -67 $

✔ Answer: $ x = -67 $

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6. $ x + 1 = 9 $

Subtract 1 from both sides:
$ x = 9 - 1 $
$ x = 8 $

✔ Answer: $ x = 8 $

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7. $ 5 - x = 12 $

Subtract 5 from both sides:
$ -x = 12 - 5 $
$ -x = 7 $

Multiply both sides by -1:
$ x = -7 $

✔ Answer: $ x = -7 $

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8. $ 2 = x + 12 $

Subtract 12 from both sides:
$ 2 - 12 = x $
$ x = -10 $

✔ Answer: $ x = -10 $

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9. $ x - 8 = 19 $

Add 8 to both sides:
$ x = 19 + 8 $
$ x = 27 $

✔ Answer: $ x = 27 $

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10. $ x - 22 = 30 $

Add 22 to both sides:
$ x = 30 + 22 $
$ x = 52 $

✔ Answer: $ x = 52 $

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11. $ 13 = x + 4 $

Subtract 4 from both sides:
$ 13 - 4 = x $
$ x = 9 $

✔ Answer: $ x = 9 $

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12. $ x - 4 = 5 $

Add 4 to both sides:
$ x = 5 + 4 $
$ x = 9 $

✔ Answer: $ x = 9 $

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13. $ x - 17 = 22 $

Add 17 to both sides:
$ x = 22 + 17 $
$ x = 39 $

✔ Answer: $ x = 39 $

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14. $ x + 13 = 27 $

Subtract 13 from both sides:
$ x = 27 - 13 $
$ x = 14 $

✔ Answer: $ x = 14 $

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15. $ 24 = x + 15 $

Subtract 15 from both sides:
$ 24 - 15 = x $
$ x = 9 $

✔ Answer: $ x = 9 $

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16. $ x - 7 = 14 $

Add 7 to both sides:
$ x = 14 + 7 $
$ x = 21 $

✔ Answer: $ x = 21 $

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17. $ x + 22 = 20 $

Subtract 22 from both sides:
$ x = 20 - 22 $
$ x = -2 $

✔ Answer: $ x = -2 $

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18. $ 15 = x + 10 $

Subtract 10 from both sides:
$ 15 - 10 = x $
$ x = 5 $

✔ Answer: $ x = 5 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ x = 21 $ |
| 2 | $ x = 7 $ |
| 3 | $ x = 90 $ |
| 4 | $ x = 217 $ |
| 5 | $ x = -67 $ |
| 6 | $ x = 8 $ |
| 7 | $ x = -7 $ |
| 8 | $ x = -10 $ |
| 9 | $ x = 27 $ |
| 10 | $ x = 52 $ |
| 11 | $ x = 9 $ |
| 12 | $ x = 9 $ |
| 13 | $ x = 39 $ |
| 14 | $ x = 14 $ |
| 15 | $ x = 9 $ |
| 16 | $ x = 21 $ |
| 17 | $ x = -2 $ |
| 18 | $ x = 5 $ |

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🔍 Summary of Strategy:

- To solve equations like $ x + a = b $, subtract $ a $ from both sides.
- To solve $ x - a = b $, add $ a $ to both sides.
- For equations like $ a - x = b $, isolate $ x $ by moving terms and remembering that $ -x $ means you'll get a negative value when solving.

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