Final answer:
The expression 2(−8x−3)+18x simplifies to 2x−6, which can be factored as 2(x−3).
Step-by-step explanation:
The question asks us to simplify the expression 2(−8x−3)+18x and to write the answer in factored form.
We begin by distributing the 2 to both −8x and −3 which gives us −16x − 6.
Then we add the 18x to this result:
−16x − 6 + 18x = 2x − 6
Since 2 is a common factor of both terms, we can write this in factored form as:
2(x − 3)
So, the simplified expression in factored form is 2(x − 3).