The equation for "the quotient of \(x\) divided by 2 is 27" can be written as:

\[
\frac{x}{2} = 27
\]

To solve for \(x\), multiply both sides of the equation by 2:

\[
x = 27 \times 2 = 54
\]

So, \(x = 54\).

Would you like more details, or do you have any questions?

Here are 5 related questions you could explore:
1. What if the quotient of \(x\) divided by 3 is 27?
2. How do you solve for \(x\) if \(\frac{x}{4} = 10\)?
3. What happens if you change the divisor to a different number, like 5?
4. How do you solve for \(x\) if the equation is \(\frac{x}{2} = -27\)?
5. How do you solve equations with multiple terms involving division?

**Tip**: When solving for a variable, remember to perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the equation where the quotient of x divided by 2 is 27. This problem focuses on basic algebraic concepts, such as solving simple linear equations, suitable for students in Grades 6-8.

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