Final answer:
To factor the expression 5x + 10x - 40, first combine like terms to get 15x - 40. Then, factor out the greatest common factor, 5, to obtain 5(3x - 8).
Step-by-step explanation:
To factor the expression 5x + 10x - 40, we can first combine like terms. The like terms in this expression are 5x and 10x, which together give us 15x. So, the expression becomes 15x - 40.
Now, we can factor out the greatest common factor from the expression. The greatest common factor of 15x and 40 is 5. By factoring out 5, we get 5(3x - 8).
Therefore, the factored form of 5x + 10x - 40 is 5(3x - 8).