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

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

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

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

Would you like more details or have any questions?

Here are 8 related questions you might find interesting:

1. How would you solve the equation \( 6x = 4x + 20 \)?
2. What is the solution for \( 12x - 5 = 8x + 7 \)?
3. Can you solve \( 3x = 5x - 14 \) and find the value of \( x \)?
4. How do you solve the equation \( 2x + 6 = 10x - 14 \)?
5. What happens if you subtract the variable term from both sides and get zero on one side?
6. How would you solve an equation like \( 7x - 3x = 20 \)?
7. What steps would you take to solve \( 4x = 9x - 25 \)?
8. Can you solve an equation where the variable cancels out and leaves a number equal to zero?

**Tip:** Always remember to check your solution by plugging it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation 8x = 10x - 18 with a detailed step-by-step solution. This problem involves basic algebraic manipulation of linear equations. Suitable for students in Grades 7-9.

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