## Factoring the Expression (5x - 25)

The expression (5x - 25) is a linear expression, meaning it has a highest power of 1 for the variable 'x'. We can factor this expression by finding the greatest common factor (GCF) of the terms 5x and -25.

### Finding the Greatest Common Factor (GCF)

The GCF of 5x and -25 is **5**. This is because both 5x and -25 are divisible by 5.

### Factoring the Expression

To factor the expression, we can write it as the product of the GCF and the remaining expression after dividing each term by the GCF:

**5x / 5 = x****-25 / 5 = -5**

Therefore, the factored form of (5x - 25) is:

**(5x - 25) = 5(x - 5)**

### Checking the Factored Expression

We can check if our factorization is correct by expanding the factored expression:

**5(x - 5) = 5 * x - 5 * 5 = 5x - 25**

This confirms that our factorization is correct.

### Conclusion

The expression (5x - 25) can be factored into **5(x - 5)** by finding the greatest common factor of the terms and then dividing each term by the GCF. This process allows us to represent the expression in a simpler and more compact form.