To solve the equation \(3x + 27 = 81\), follow these steps:

1. **Subtract 27 from both sides** to isolate the term with \(x\):
   \[
   3x + 27 - 27 = 81 - 27
   \]
   \[
   3x = 54
   \]

2. **Divide both sides by 3** to solve for \(x\):
   \[
   \frac{3x}{3} = \frac{54}{3}
   \]
   \[
   x = 18
   \]

Thus, the solution is \(x = 18\).

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

Here are 5 related questions you might find interesting:

1. How would you solve \(5x + 15 = 40\)?
2. What happens if you subtract a number on both sides of the equation?
3. How would you check your solution for \(x = 18\)?
4. Can you apply the same method to solve \(2x + 10 = 34\)?
5. What is the next step if the variable term had been more complex, like \(4x^2\)?

**Tip**: Always start by isolating the variable term, then use inverse operations (addition, subtraction, multiplication, or division) to simplify further.

Learn how to solve the linear equation 3x + 27 = 81 through a clear, step-by-step breakdown. This guide explains key algebra concepts, including isolating variables and applying inverse operations. Ideal for students in Grades 6-8.

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