Let's solve the equation step by step:

### Given:
\[
15x - 3(3x + 4) = 6
\]

### Step 1: Distribute the \(-3\) over the terms inside the parentheses:
\[
15x - 3(3x) - 3(4) = 6
\]
This simplifies to:
\[
15x - 9x - 12 = 6
\]

### Step 2: Combine like terms on the left-hand side:
\[
(15x - 9x) - 12 = 6
\]
\[
6x - 12 = 6
\]

### Step 3: Add 12 to both sides to isolate the term with \(x\):
\[
6x - 12 + 12 = 6 + 12
\]
\[
6x = 18
\]

### Step 4: Divide both sides by 6 to solve for \(x\):
\[
x = \frac{18}{6} = 3
\]

### Final answer:
\[
x = 3
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What happens if the equation has fractions instead of whole numbers?
2. How do you solve a similar equation with variables on both sides?
3. What is the difference between distribution and factoring?
4. Can you solve the equation \(5x - 4(2x + 3) = 10\)?
5. How do you verify that \(x = 3\) is correct?

**Tip:** When solving equations, always distribute and combine like terms first to simplify the expression!

Learn how to solve the linear equation 15x - 3(3x + 4) = 6 with a step-by-step solution. This problem explains the distributive property and combining like terms, suitable for students in Grades 7-8.

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