Printable algebra worksheet for solving linear equations, featuring nine problems to find the value of x.

Let’s solve each equation step by step. We’re solving for x in each case — that means we want to get x alone on one side of the equals sign.

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1) 4x + 9 = 25

Subtract 9 from both sides:
→ 4x = 25 - 9 → 4x = 16
Divide both sides by 4:
→ x = 16 ÷ 4 → x = 4

✔ Check: 4(4) + 9 = 16 + 9 = 25 ✔️

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2) 5x + 12 = 62

Subtract 12 from both sides:
→ 5x = 62 - 12 → 5x = 50
Divide by 5:
→ x = 50 ÷ 5 → x = 10

✔ Check: 5(10) + 12 = 50 + 12 = 62 ✔️

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3) 6x – 20 = 22

Add 20 to both sides:
→ 6x = 22 + 20 → 6x = 42
Divide by 6:
→ x = 42 ÷ 6 → x = 7

✔ Check: 6(7) – 20 = 42 – 20 = 22 ✔️

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4) 2x + 9 = 21

Subtract 9:
→ 2x = 21 - 9 → 2x = 12
Divide by 2:
→ x = 12 ÷ 2 → x = 6

✔ Check: 2(6) + 9 = 12 + 9 = 21 ✔️

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5) 4x – 25 = 11

Add 25:
→ 4x = 11 + 25 → 4x = 36
Divide by 4:
→ x = 36 ÷ 4 → x = 9

✔ Check: 4(9) – 25 = 36 – 25 = 11 ✔️

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6) 9x – 40 = 5

Add 40:
→ 9x = 5 + 40 → 9x = 45
Divide by 9:
→ x = 45 ÷ 9 → x = 5

✔ Check: 9(5) – 40 = 45 – 40 = 5 ✔️

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7) 8x + 13 = 45

Subtract 13:
→ 8x = 45 - 13 → 8x = 32
Divide by 8:
→ x = 32 8 → x = 4

✔ Check: 8(4) + 13 = 32 + 13 = 45 ✔️

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8) 10x + 35 = 85

Subtract 35:
→ 10x = 85 - 35 → 10x = 50
Divide by 10:
→ x = 50 ÷ 10 → x = 5

✔ Check: 10(5) + 35 = 50 + 35 = 85 ✔️

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9) 3x – 7 = 20

Add 7:
→ 3x = 20 + 7 → 3x = 27
Divide by 3:
→ x = 27 ÷ 3 → x = 9

✔ Check: 3(9) – 7 = 27 – 7 = 20 ✔️

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Final Answer:
1) x = 4
2) x = 10
3) x = 7
4) x = 6
5) x = 9
6) x = 5
7) x = 4
8) x = 5
9) x = 9