Algebra worksheet featuring equations to solve, such as 3x + 5 = 14 and 1/2x = 6.

Let’s solve each equation step by step. We’ll isolate the variable (x) on one side of the equation.

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1. x - 7 = 10

Add 7 to both sides:

x = 10 + 7
→ x = 17

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2. x + 5 = 14

Subtract 5 from both sides:

x = 14 - 5
→ x = 9

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3. x - 1 = 18

Add 1 to both sides:

x = 18 + 1
→ x = 19

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4. 6x = 12

Divide both sides by 6:

x = 12 ÷ 6
→ x = 2

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5. 8x = 40

Divide both sides by 8:

x = 40 ÷ 8
→ x = 5

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6. (1/2)x = 3

Multiply both sides by 2 to cancel the fraction:

x = 3 × 2
→ x = 6

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7. 3x - 4 = 11

First, add 4 to both sides:

3x = 11 + 4 → 3x = 15

Then divide by 3:

x = 15 ÷ 3
→ x = 5

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8. 2(x + 3) = 16

First, divide both sides by 2:

x + 3 = 8

Then subtract 3:

x = 8 - 3
→ x = 5

*(Alternatively: distribute first → 2x + 6 = 16 → 2x = 10 → x = 5 — same answer)*

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9. (1/3)(x - 6) = 2

Multiply both sides by 3 to eliminate the fraction:

x - 6 = 6

Add 6 to both sides:

x = 6 + 6
→ x = 12

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10. 7x + 3 = 24

Subtract 3 from both sides:

7x = 21

Divide by 7:

x = 21 ÷ 7
→ x = 3

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11. 2(x - 1) = 8

Divide both sides by 2:

x - 1 = 4

Add 1:

x = 5
→ x = 5

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12. 3(x + 4) = 45

Divide both sides by 3:

x + 4 = 15

Subtract 4:

x = 11
→ x = 11

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Final Answer:
1. x = 17
2. x = 9
3. x = 19
4. x = 2
5. x = 5
6. x = 6
7. x = 5
8. x = 5
9. x = 12
10. x = 3
11. x = 5
12. x = 11