To solve for \( x \) in the equation \( u = kx + yx \), follow these steps:

1. **Factor out \( x \)** from the right-hand side:
   \[
   u = x(k + y)
   \]

2. **Isolate \( x \)** by dividing both sides by \( (k + y) \), assuming \( k + y \neq 0 \):
   \[
   x = \frac{u}{k + y}
   \]

So, the solution for \( x \) is:

\[
x = \frac{u}{k + y}
\]

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

Here are some related questions you might find useful:

1. What happens if \( k + y = 0 \)?
2. How would you solve for \( y \) instead of \( x \)?
3. Can you apply this method to an equation with more variables?
4. What if the equation was \( u = kx + y^2x \)?
5. How would this process change if the equation was \( u = kx^2 + yx \)?
6. What if \( k \) or \( y \) is a function of \( x \)?
7. How would you handle this if \( u \) was also a function of \( x \)?
8. Can you graph the relationship between \( u \), \( x \), and \( y \)?

**Tip:** When solving for a variable, always check if you can factor out the desired variable to simplify the equation.

Learn how to solve the equation u = kx + yx to find the value of x. This problem involves isolating the variable x and is suitable for students studying linear equations and variable isolation. Detailed step-by-step solution provided.

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