We have the equation:

\[
(X)(30\%) - X = 61,616.16
\]

To solve for \(X\), let's break it down:

1. Rewrite \(30\%\) as a decimal: \(30\% = 0.30\).
   
   The equation now becomes:
   
   \[
0.30X - X = 61,616.16
   \]
   
2. Combine like terms on the left-hand side. \(0.30X - X = -0.70X\):

   \[
-0.70X = 61,616.16
   \]

3. Solve for \(X\) by dividing both sides by \(-0.70\):

\[
X = \frac{61,616.16}{-0.70} = -88,023.09
\]

Thus, \(X = -88,023.09\).

Would you like more details or have any questions?

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Here are 5 related questions for practice:
1. What if the equation was \((X)(40\%) - X = 50,000\)?
2. How would you solve \((X)(20\%) + X = 70,000\)?
3. What happens if the percentage in the equation changes to \(25\%\)?
4. How do you solve \(Y(10\%) - Y = 5,000\)?
5. How does the sign of the percentage affect the solution?

**Tip**: When dealing with percentages, always convert the percentage to a decimal for easier calculations.

Learn how to solve the algebraic equation (X)(30%) - X = 61,616.16 using percentage and linear equation concepts. This step-by-step solution breaks down the problem, showing how to convert percentages to decimals and combine like terms. Suitable for Grades 8-10 students looking to improve their algebra and percentage skills.

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