To simplify the given expression, we combine the like terms:

\[
x - 2x + 3x - 4x + 5x
\]

Step-by-step:

1. Combine \(x\) and \(-2x\):

   \[
   x - 2x = -x
   \]

2. Add \(3x\):

   \[
   -x + 3x = 2x
   \]

3. Subtract \(4x\):

   \[
   2x - 4x = -2x
   \]

4. Add \(5x\):

   \[
   -2x + 5x = 3x
   \]

Therefore, the simplified expression is:

\[
\boxed{3x}
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. Simplify the expression: \( 4x - 3x + 2x - x + 6x \).
2. If \( x = 2 \), what is the value of the expression \( x - 2x + 3x - 4x + 5x \)?
3. How would the expression change if you added a constant term, like \( +7 \), to it?
4. Simplify the expression: \( 2y - y + 3y - 4y + 6y \).
5. If \( 3x = 15 \), what is the value of \( x \)?

**Tip:** Always group and combine like terms to simplify expressions. This will help reduce errors and make calculations easier.

Learn how to simplify the expression x - 2x + 3x - 4x + 5x with a detailed step-by-step solution. This problem covers algebraic concepts such as combining like terms. Suitable for students in Grades 7-9.

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