To solve the equation \( x - 0.085x = 3250 \), follow these steps:

1. **Factor out** \( x \) on the left-hand side:
   \[
   x(1 - 0.085) = 3250
   \]
   Simplifying inside the parentheses:
   \[
   0.915x = 3250
   \]

2. **Solve for \( x \)** by dividing both sides by 0.915:
   \[
   x = \frac{3250}{0.915}
   \]

3. **Perform the division**:
   \[
   x \approx 3557.38
   \]

So, the solution is:
\[
x \approx 3557.38
\]

Would you like more details or have any questions?

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Here are 5 related questions:
1. What would happen if you change the equation to \( x - 0.1x = 4000 \)?
2. How do you solve \( x - 0.075x = 5000 \)?
3. Can you solve \( x - 0.085x = 2500 \) and find \( x \)?
4. What is the effect of reducing the coefficient 0.085 to 0.05 in the equation?
5. How would the solution change if the right-hand side of the equation was \( 3250 + 200 \)?

**Tip**: When solving equations, it's useful to factor out common terms first to simplify your calculations.

Learn how to solve the linear equation x - 0.085x = 3250 step by step. This solution uses key algebraic techniques like factoring and simplifying. Suitable for students in Grades 8-10.

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