Grade 5 pre-algebra worksheet focusing on solving basic algebraic equations.

Sure! Let’s solve each equation step by step and express the answer in the form “x = ___” as requested.

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1) x + 12 = 14

Subtract 12 from both sides:
→ x = 14 - 12
→ x = 2

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2) 11 + x = 15

Subtract 11 from both sides:
→ x = 15 - 11
→ x = 4

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3) x - 5 = 6

Add 5 to both sides:
→ x = 6 + 5
→ x = 11

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4) 2 + x = 8

Subtract 2 from both sides:
→ x = 8 - 2
→ x = 6

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5) x - 3 = 2

Add 3 to both sides:
→ x = 2 + 3
→ x = 5

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6) x - 6 = 6

Add 6 to both sides:
→ x = 6 + 6
→ x = 12

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7) 7 + x = 14

Subtract 7 from both sides:
→ x = 14 - 7
→ x = 7

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8) 12 - x = 7

Subtract 12 from both sides:
→ -x = 7 - 12 → -x = -5
Multiply both sides by -1:
→ x = 5

*(Alternative: Think “What number subtracted from 12 gives 7?” → 5)*

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9) 5 + x = 9

Subtract 5 from both sides:
→ x = 9 - 5
→ x = 4

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10) x - 10 = 2

Add 10 to both sides:
→ x = 2 + 10
→ x = 12

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11) x + 6 = 14

Subtract 6 from both sides:
→ x = 14 - 6
→ x = 8

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12) 7 + x = 10

Subtract 7 from both sides:
→ x = 10 - 7
→ x = 3

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13) 10 - x = 7

Subtract 10 from both sides:
→ -x = 7 - 10 → -x = -3
Multiply by -1:
→ x = 3

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14) 8 + x = 16

Subtract 8 from both sides:
→ x = 16 - 8
→ x = 8

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15) x - 9 = 1

Add 9 to both sides:
→ x = 1 + 9
→ x = 10

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16) x + 10 = 14

Subtract 10 from both sides:
→ x = 14 - 10
→ x = 4

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17) x - 3 = 8

Add 3 to both sides:
→ x = 8 + 3
→ x = 11

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18) x + 7 = 9

Subtract 7 from both sides:
→ x = 9 - 7
→ x = 2

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19) x + 7 = 19

Subtract 7 from both sides:
→ x = 19 - 7
→ x = 12

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20) x + 2 = 10

Subtract 2 from both sides:
→ x = 10 - 2
→ x = 8

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## ✔ Final Answers (in order):

1) x = 2
2) x = 4
3) x = 11
4) x = 6
5) x = 5
6) x = 12
7) x = 7
8) x = 5
9) x = 4
10) x = 12
11) x = 8
12) x = 3
13) x = 3
14) x = 8
15) x = 10
16) x = 4
17) x = 11
18) x = 2
19) x = 12
20) x = 8

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## 📌 Key Strategy:
To solve for x, isolate it on one side of the equation by doing the opposite operation to what is being done to it:

- If something is added to x → subtract it from both sides.
- If something is subtracted from x → add it to both sides.
- If x is being subtracted (like 10 - x), rearrange or use inverse operations carefully.

You’re basically “undoing” the math around x to find its value!

Let me know if you’d like a visual explanation or practice more problems 😊