Two Step Equations Worksheets - Math Monks - Free Printable

Let's solve each of the two-step equations step by step. I'll show the work clearly for each one.

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1) $ 2x - 4 = 6 $

Step 1: Add 4 to both sides
$$
2x - 4 + 4 = 6 + 4 \\
2x = 10
$$

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

✔ Answer: $ x = 5 $

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2) $ \frac{p - 10}{2.5} = -2 $

Step 1: Multiply both sides by 2.5
$$
p - 10 = -2 \times 2.5 \\
p - 10 = -5
$$

Step 2: Add 10 to both sides
$$
p = -5 + 10 = 5
$$

✔ Answer: $ p = 5 $

---

3) $ \frac{x}{4} - 2 = 5 $

Step 1: Add 2 to both sides
$$
\frac{x}{4} = 5 + 2 = 7
$$

Step 2: Multiply both sides by 4
$$
x = 7 \times 4 = 28
$$

✔ Answer: $ x = 28 $

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4) $ \frac{m + 9}{5} = 2 $

Step 1: Multiply both sides by 5
$$
m + 9 = 2 \times 5 = 10
$$

Step 2: Subtract 9 from both sides
$$
m = 10 - 9 = 1
$$

✔ Answer: $ m = 1 $

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5) $ -3(q - 7) = -24 $

Step 1: Divide both sides by -3
$$
q - 7 = \frac{-24}{-3} = 8
$$

Step 2: Add 7 to both sides
$$
q = 8 + 7 = 15
$$

✔ Answer: $ q = 15 $

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6) $ \frac{5 + e}{-3} = 0 $

Step 1: Multiply both sides by -3
$$
5 + e = 0 \times (-3) = 0
$$

Step 2: Subtract 5 from both sides
$$
e = -5
$$

✔ Answer: $ e = -5 $

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7) $ \frac{k}{4} - 1 = 1.2 $

Step 1: Add 1 to both sides
$$
\frac{k}{4} = 1.2 + 1 = 2.2
$$

Step 2: Multiply both sides by 4
$$
k = 2.2 \times 4 = 8.8
$$

✔ Answer: $ k = 8.8 $

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8) $ \frac{c}{25} + 4 = 3.8 $

Step 1: Subtract 4 from both sides
$$
\frac{c}{25} = 3.8 - 4 = -0.2
$$

Step 2: Multiply both sides by 25
$$
c = -0.2 \times 25 = -5
$$

✔ Answer: $ c = -5 $

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9) $ -6 + 5l = -21 $

Step 1: Add 6 to both sides
$$
5l = -21 + 6 = -15
$$

Step 2: Divide both sides by 5
$$
l = \frac{-15}{5} = -3
$$

✔ Answer: $ l = -3 $

---

10) $ -4 = \frac{x}{20} - 5 $

Step 1: Add 5 to both sides
$$
-4 + 5 = \frac{x}{20} \\
1 = \frac{x}{20}
$$

Step 2: Multiply both sides by 20
$$
x = 1 \times 20 = 20
$$

✔ Answer: $ x = 20 $

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✔ Final Answers:

1. $ x = 5 $
2. $ p = 5 $
3. $ x = 28 $
4. $ m = 1 $
5. $ q = 15 $
6. $ e = -5 $
7. $ k = 8.8 $
8. $ c = -5 $
9. $ l = -3 $
10. $ x = 20 $

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