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Solving One-Step Linear Equations - Free Printable

Solving One-Step Linear Equations

Educational worksheet: Solving One-Step Linear Equations. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Solving One-Step Linear Equations
Let's solve each equation step by step. We'll go through both columns one by one.

---

Left Column: Solve for x



1) $ 8x = 64 $
To solve for $ x $, divide both sides by 8:
$$
x = \frac{64}{8} = 8
$$

2) $ 4x = 60 $
Divide both sides by 4:
$$
x = \frac{60}{4} = 15
$$

3) $ 2x = 32 $
Divide both sides by 2:
$$
x = \frac{32}{2} = 16
$$

4) $ 12x = 108 $
Divide both sides by 12:
$$
x = \frac{108}{12} = 9
$$

5) $ 9x = 108 $
Divide both sides by 9:
$$
x = \frac{108}{9} = 12
$$

6) $ 5x = 70 $
Divide both sides by 5:
$$
x = \frac{70}{5} = 14
$$

7) $ 8x = 4 $
Divide both sides by 8:
$$
x = \frac{4}{8} = \frac{1}{2}
$$

---

Right Column: Solve for x



1) $ x + 7 = 15 $
Subtract 7 from both sides:
$$
x = 15 - 7 = 8
$$

2) $ x - 7 = 15 $
Add 7 to both sides:
$$
x = 15 + 7 = 22
$$

3) $ x + 7 = 14 $
Subtract 7 from both sides:
$$
x = 14 - 7 = 7
$$

4) $ x - 5 = 15 $
Add 5 to both sides:
$$
x = 15 + 5 = 20
$$

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

6) $ x + 17 = 30 $
Subtract 17 from both sides:
$$
x = 30 - 17 = 13
$$

7) $ x - 17 = 30 $
Add 17 to both sides:
$$
x = 30 + 17 = 47
$$

---

Final Answers:



Left Column:
1) $ x = 8 $
2) $ x = 15 $
3) $ x = 16 $
4) $ x = 9 $
5) $ x = 12 $
6) $ x = 14 $
7) $ x = \frac{1}{2} $

Right Column:
1) $ x = 8 $
2) $ x = 22 $
3) $ x = 7 $
4) $ x = 20 $
5) $ x = 10 $
6) $ x = 13 $
7) $ x = 47 $

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Let me know if you'd like these explained in a different way or need help checking your work! 😊
Parent Tip: Review the logic above to help your child master the concept of one step linear equation worksheet printables.
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