To solve the equation \(2x = 81\), follow these steps:

1. Divide both sides of the equation by 2 to isolate \(x\):
   \[
   x = \frac{81}{2}
   \]

2. Simplify the fraction:
   \[
   x = 40.5
   \]

Thus, the solution is \(x = 40.5\).

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

Here are 8 related questions to expand your understanding:

1. How would you solve the equation \(3x = 90\)?
2. What is the solution to the equation \(5x = 75\)?
3. How would you solve the equation \(x + 10 = 50\)?
4. What is the value of \(x\) in the equation \(4x = 100\)?
5. How do you solve the equation \(6x - 2 = 34\)?
6. What is the solution to the equation \(2x + 5 = 45\)?
7. How would you solve the equation \(10x = 120\)?
8. What is the value of \(x\) in the equation \(7x - 3 = 25\)?

**Tip:** Always perform the same operation on both sides of an equation to keep it balanced.

Learn how to solve the equation 2x = 81 with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations, division, and fraction simplification. Suitable for students in Grades 6-8.

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