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Set of one-step algebraic equations designed to help students practice isolating the variable x.

A list of basic algebra equations for solving for x, featuring one-step addition, subtraction, multiplication, and division problems.

A list of basic algebra equations for solving for x, featuring one-step addition, subtraction, multiplication, and division problems.

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Show Answer Key & Explanations Step-by-step solution for: One-step equations worksheet (with solutions)
Let's solve each of the given equations step by step. These are all linear equations in one variable, and we'll isolate $ x $ to find its value.

---

3) $ x - 3 = 11 $



Add 3 to both sides:
$$
x = 11 + 3 = 14
$$
Answer: $ x = 14 $

---

4) $ x - 5 = 7 $



Add 5 to both sides:
$$
x = 7 + 5 = 12
$$
Answer: $ x = 12 $

---

5) $ 2x = 10 $



Divide both sides by 2:
$$
x = \frac{10}{2} = 5
$$
Answer: $ x = 5 $

---

6) $ \frac{x}{6} = 2 $



Multiply both sides by 6:
$$
x = 2 \times 6 = 12
$$
Answer: $ x = 12 $

---

7) $ 3x = 15 $



Divide both sides by 3:
$$
x = \frac{15}{3} = 5
$$
Answer: $ x = 5 $

---

8) $ 4x = 12 $



Divide both sides by 4:
$$
x = \frac{12}{4} = 3
$$
Answer: $ x = 3 $

---

9) $ \frac{x}{4} = 10 $



Multiply both sides by 4:
$$
x = 10 \times 4 = 40
$$
Answer: $ x = 40 $

---

10) $ x - 7 = 13 $



Add 7 to both sides:
$$
x = 13 + 7 = 20
$$
Answer: $ x = 20 $

---

11) $ x + 6 = 15 $



Subtract 6 from both sides:
$$
x = 15 - 6 = 9
$$
Answer: $ x = 9 $

---

12) $ 4 + x = 9 $



Subtract 4 from both sides:
$$
x = 9 - 4 = 5
$$
Answer: $ x = 5 $

---

13) $ 7 = x - 6 $



Add 6 to both sides:
$$
7 + 6 = x \Rightarrow x = 13
$$
Answer: $ x = 13 $

---

14) $ 14 = x + 5 $



Subtract 5 from both sides:
$$
x = 14 - 5 = 9
$$
Answer: $ x = 9 $

---

Final Answers:



| Problem | Answer |
|--------|--------|
| 3) | $ x = 14 $ |
| 4) | $ x = 12 $ |
| 5) | $ x = 5 $ |
| 6) | $ x = 12 $ |
| 7) | $ x = 5 $ |
| 8) | $ x = 3 $ |
| 9) | $ x = 40 $ |
| 10) | $ x = 20 $ |
| 11) | $ x = 9 $ |
| 12) | $ x = 5 $ |
| 13) | $ x = 13 $ |
| 14) | $ x = 9 $ |

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Parent Tip: Review the logic above to help your child master the concept of free one step equations worksheet.
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