One-step equations worksheet focusing on addition and subtraction, designed for educational practice.

Absolutely! Let’s solve each of these one-step equations using addition and subtraction. The goal is to isolate the variable `x` on one side of the equation by performing the inverse operation.

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🔢 General Rule:

- If a number is added to `x`, subtract it from both sides.
- If a number is subtracted from `x`, add it to both sides.

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## ✔ Solutions:

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1) `10 + x = 4`

Subtract 10 from both sides:

> `x = 4 - 10`
> `x = -6`

✔ Answer: `x = -6`

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2) `1 + x = -7`

Subtract 1 from both sides:

> `x = -7 - 1`
> `x = -8`

✔ Answer: `x = -8`

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3) `x + (-9) = 8` → same as `x - 9 = 8`

Add 9 to both sides:

> `x = 8 + 9`
> `x = 17`

✔ Answer: `x = 17`

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4) `x + 7 = -4`

Subtract 7 from both sides:

> `x = -4 - 7`
> `x = -11`

✔ Answer: `x = -11`

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5) `x - 5 = -1`

Add 5 to both sides:

> `x = -1 + 5`
> `x = 4`

✔ Answer: `x = 4`

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6) `-7 + x = -12` → same as `x - 7 = -12`

Add 7 to both sides:

> `x = -12 + 7`
> `x = -5`

✔ Answer: `x = -5`

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7) `6 + x = -14`

Subtract 6 from both sides:

> `x = -14 - 6`
> `x = -20`

✔ Answer: `x = -20`

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8) `13 + x = -2`

Subtract 13 from both sides:

> `x = -2 - 13`
> `x = -15`

✔ Answer: `x = -15`

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9) `-15 + x = -9` → same as `x - 15 = -9`

Add 15 to both sides:

> `x = -9 + 15`
> `x = 6`

✔ Answer: `x = 6`

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10) `x - 13 = -10`

Add 13 to both sides:

> `x = -10 + 13`
> `x = 3`

✔ Answer: `x = 3`

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11) `12 + x = -9`

Subtract 12 from both sides:

> `x = -9 - 12`
> `x = -21`

✔ Answer: `x = -21`

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12) `-17 + x = -9` → same as `x - 17 = -9`

Add 17 to both sides:

> `x = -9 + 17`
> `x = 8`

✔ Answer: `x = 8`

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13) `x + (-19) = 15` → same as `x - 19 = 15`

Add 19 to both sides:

> `x = 15 + 19`
> `x = 34`

✔ Answer: `x = 34`

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14) `x - (-6) = -1` → same as `x + 6 = -1`

Subtract 6 from both sides:

> `x = -1 - 6`
> `x = -7`

✔ Answer: `x = -7`

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## 📝 Final Answer Key:

1) `x = -6`
2) `x = -8`
3) `x = 17`
4) `x = -11`
5) `x = 4`
6) `x = -5`
7) `x = -20`
8) `x = -15`
9) `x = 6`
10) `x = 3`
11) `x = -21`
12) `x = 8`
13) `x = 34`
14) `x = -7`

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Let me know if you’d like to see these solved with visual balance scales or step-by-step diagrams! 😊