Let's solve the equation step by step.

The given equation is:
\[
3(5x + 2) = 36
\]
Expanding the left side by distributing 3:
\[
15x + 6 = 36
\]

Now, subtract 6 from both sides to isolate the term with \(x\):
\[
15x = 36 - 6
\]
\[
15x = 30
\]

Next, divide both sides by 15 to solve for \(x\):
\[
x = \frac{30}{15}
\]
\[
x = 2
\]

So, the solution is \(x = 2\).

Would you like more details or have any questions about this solution?

Here are 5 related questions to explore further:
1. How do you solve an equation involving fractions?
2. What happens when there is a negative sign inside the parentheses?
3. Can you solve \(3(2x + 4) = 18\)?
4. How would you check if a solution is correct?
5. How do you solve multi-step equations involving distribution and combining like terms?

**Tip**: Always check your solution by plugging the value of \(x\) back into the original equation.

Learn how to solve the linear equation 3(5x + 2) = 36 with a detailed step-by-step solution. This problem covers key algebraic concepts, such as the distributive property and solving linear equations. Suitable for students in Grades 6-8.

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