Two-Step Equation Worksheets (printable, online, answers, examples) - Free Printable

To solve each of the given two-step equations, we will follow a systematic approach. Let's solve them step by step.

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1. Solve \( 0.2x + 0.4 = 0.8 \)

#### Step 1: Isolate the term with \( x \)
Subtract 0.4 from both sides:
\[
0.2x + 0.4 - 0.4 = 0.8 - 0.4
\]
\[
0.2x = 0.4
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.2:
\[
x = \frac{0.4}{0.2}
\]
\[
x = 2
\]

Solution: \( x = 2 \)

---

2. Solve \( 0.2x - 0.14 = 0.3 \)

#### Step 1: Isolate the term with \( x \)
Add 0.14 to both sides:
\[
0.2x - 0.14 + 0.14 = 0.3 + 0.14
\]
\[
0.2x = 0.44
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.2:
\[
x = \frac{0.44}{0.2}
\]
\[
x = 2.2
\]

Solution: \( x = 2.2 \)

---

3. Solve \( 0.6x - 0.7 = 0.5 \)

#### Step 1: Isolate the term with \( x \)
Add 0.7 to both sides:
\[
0.6x - 0.7 + 0.7 = 0.5 + 0.7
\]
\[
0.6x = 1.2
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.6:
\[
x = \frac{1.2}{0.6}
\]
\[
x = 2
\]

Solution: \( x = 2 \)

---

4. Solve \( 1.2 = 0.5x - 1.8 \)

#### Step 1: Isolate the term with \( x \)
Add 1.8 to both sides:
\[
1.2 + 1.8 = 0.5x - 1.8 + 1.8
\]
\[
3.0 = 0.5x
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.5:
\[
x = \frac{3.0}{0.5}
\]
\[
x = 6
\]

Solution: \( x = 6 \)

---

5. Solve \( 0.11x - 0.02 = 0.2 \)

#### Step 1: Isolate the term with \( x \)
Add 0.02 to both sides:
\[
0.11x - 0.02 + 0.02 = 0.2 + 0.02
\]
\[
0.11x = 0.22
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.11:
\[
x = \frac{0.22}{0.11}
\]
\[
x = 2
\]

Solution: \( x = 2 \)

---

6. Solve \( 1.6 = 0.2x - 1.2 \)

#### Step 1: Isolate the term with \( x \)
Add 1.2 to both sides:
\[
1.6 + 1.2 = 0.2x - 1.2 + 1.2
\]
\[
2.8 = 0.2x
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.2:
\[
x = \frac{2.8}{0.2}
\]
\[
x = 14
\]

Solution: \( x = 14 \)

---

7. Solve \( 0.6 + 0.2x = 1.2 \)

#### Step 1: Isolate the term with \( x \)
Subtract 0.6 from both sides:
\[
0.6 + 0.2x - 0.6 = 1.2 - 0.6
\]
\[
0.2x = 0.6
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.2:
\[
x = \frac{0.6}{0.2}
\]
\[
x = 3
\]

Solution: \( x = 3 \)

---

8. Solve \( 0.3x - 1.5 = 1.8 \)

#### Step 1: Isolate the term with \( x \)
Add 1.5 to both sides:
\[
0.3x - 1.5 + 1.5 = 1.8 + 1.5
\]
\[
0.3x = 3.3
\]

#### Step 2: Solve for \( x \)
Divide both sides by 0.3:
\[
x = \frac{3.3}{0.3}
\]
\[
x = 11
\]

Solution: \( x = 11 \)

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Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ x = 2 \\
2. & \ x = 2.2 \\
3. & \ x = 2 \\
4. & \ x = 6 \\
5. & \ x = 2 \\
6. & \ x = 14 \\
7. & \ x = 3 \\
8. & \ x = 11 \\
\end{aligned}
}
\]