in which of the expressions below will x = 18? select all that apply A) 3x/12 = 5 B) 4x - 18 = 54 C) 4x/9 = 8 D) 25 - (4 + x) = 3 E) 3(x-12)=36 E) 3(x-12)=36

Let's solve each expression to find which ones are true when \( x = 18 \).

**A) \( \frac{3x}{12} = 5 \)**  
Substitute \( x = 18 \) into the equation:
\[
\frac{3(18)}{12} = \frac{54}{12} = 4.5
\]
This is not equal to 5, so **A is not correct**.

---

**B) \( 4x - 18 = 54 \)**  
Substitute \( x = 18 \) into the equation:
\[
4(18) - 18 = 72 - 18 = 54
\]
This is true, so **B is correct**.

---

**C) \( \frac{4x}{9} = 8 \)**  
Substitute \( x = 18 \) into the equation:
\[
\frac{4(18)}{9} = \frac{72}{9} = 8
\]
This is true, so **C is correct**.

---

**D) \( 25 - (4 + x) = 3 \)**  
Substitute \( x = 18 \) into the equation:
\[
25 - (4 + 18) = 25 - 22 = 3
\]
This is true, so **D is correct**.

---

**E) \( 3(x - 12) = 36 \)**  
Substitute \( x = 18 \) into the equation:
\[
3(18 - 12) = 3(6) = 18
\]
This is not equal to 36, so **E is not correct**.

---

### Final Answer:
The correct expressions are **B, C, and D**.

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Would you like further details on any of these steps?

Here are 5 questions to explore further:
1. How do you solve linear equations step-by-step?
2. What are common mistakes when solving for a variable?
3. How do you verify a solution after solving an equation?
4. What is the difference between solving equations with fractions and whole numbers?
5. Can equations have more than one solution?

**Tip:** Always check your solution by substituting it back into the original equation to ensure accuracy.

in which of the expressions below will x = 18? select all that apply A) 3x/12 = 5 B) 4x - 18 = 54 C) 4x/9 = 8 D) 25 - (4 + x) = 3 E) 3(x-12)=36

Find out which expressions are true when x = 18 by solving multiple linear equations. This step-by-step solution covers key algebra concepts and substitution methods, ideal for students in Grades 7-8.

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