To solve the equation \(8x = 10x - 18\), follow these steps:

1. **Subtract \(10x\) from both sides** to bring all terms involving \(x\) to one side:
   \[
   8x - 10x = 10x - 18 - 10x
   \]
   Simplifying this gives:
   \[
   -2x = -18
   \]

2. **Divide both sides by \(-2\)** to solve for \(x\):
   \[
   x = \frac{-18}{-2}
   \]
   Simplifying the division gives:
   \[
   x = 9
   \]

So, the solution is \(x = 9\).

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

Here are some related questions:

1. How would you solve the equation \(7x = 9x - 14\)?
2. What happens if the equation was \(8x = 10x + c\), where \(c\) is a constant?
3. How do you solve \(5x + 3 = 7x - 15\)?
4. What is the significance of the negative sign when solving equations?
5. How would you graph the equation \(8x = 10x - 18\)?
6. Can you explain how to handle equations with negative coefficients?
7. How do you solve an equation like \(12x - 5 = 14x + 7\)?
8. What are the steps to check your solution after solving an equation?

**Tip:** When dealing with negative coefficients, pay close attention to the signs while performing operations to avoid errors.

Learn how to solve the equation 8x = 10x - 18 with a detailed step-by-step solution. This problem covers solving linear equations and operations with variables. Suitable for students in Grades 7-9.

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