https://file.aiquickdraw.com/mathbot/file/17268010147023zb0w469.pdf

The document you uploaded contains a series of two-step equations to solve. Let's go through a few from the list and solve them step-by-step.

### Example 1:
**\( 11x + 18 = 172 \)**

**Step 1:** Subtract 18 from both sides:
\[
11x = 172 - 18
\]
\[
11x = 154
\]

**Step 2:** Divide both sides by 11:
\[
x = \frac{154}{11}
\]
\[
x = 14
\]

---

### Example 2:
**\( 9x - 20 = 25 \)**

**Step 1:** Add 20 to both sides:
\[
9x = 25 + 20
\]
\[
9x = 45
\]

**Step 2:** Divide both sides by 9:
\[
x = \frac{45}{9}
\]
\[
x = 5
\]

---

### Example 3:
**\( 6x - 15 = 123 \)**

**Step 1:** Add 15 to both sides:
\[
6x = 123 + 15
\]
\[
6x = 138
\]

**Step 2:** Divide both sides by 6:
\[
x = \frac{138}{6}
\]
\[
x = 23
\]

Would you like me to solve more equations or provide further details on these steps?

### Related Questions:
1. How do you solve multi-step equations with variables on both sides?
2. Can you explain how to handle fractions in two-step equations?
3. What happens when there's no solution or infinite solutions in such equations?
4. How can we solve two-step equations with decimals instead of integers?
5. What are some strategies to check if your solution to a two-step equation is correct?

**Tip:** Always verify your solution by plugging it back into the original equation to check if both sides are equal.

Learn how to solve two-step equations such as 11x + 18 = 172 and 9x - 20 = 25 with a detailed, step-by-step approach. This guide covers key algebraic concepts suitable for middle school students (Grades 6-8).

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