Question

What is the difference between –11x – 2 and 13x + 5?

24x + 7
-24x + 7
24x + 3
-24x - 7

Answer 1

The difference between the expressions –11x – 2 and 13x + 5 is –24x – 7.

Step-by-step explanation:

To find the difference between the two expressions –11x – 2 and 13x + 5, you need to subtract the second expression from the first.

(–11x – 2) - (13x + 5)

To do this, distribute the negative sign through the parentheses in the second expression:

–11x – 2 - 13x - 5

Now, combine like terms:

(–11x - 13x) + (–2 - 5)

–24x - 7

So, the difference between –11x – 2 and 13x + 5 is –24x - 7.

Therefore, the difference between the two expressions is –24x – 7.

Answer 2

`\boxed{-24x-7}`

Solution Steps:

____________________________

1.) Find the opposite of 13x + 5:

• To find the opposite of 13x+5, find the opposite of each term.

• 
  `13x=-13x`

• 
  `5=-5`

- We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.

Equation at the end of Step 1:

• 
  `-11x-2-13x-5`

2.) Combine −11x and −13x:

• 
  `-11x+-13x=-24x`

- We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.

Equation at the end of Step 2:

• 
  `-24x-2-5`

3.) Subtract 5 from −2:

• 
  `-2-5=-7`

- We do this because we need one number left over to get a simplified version of this equation.

Equation at the end of Step 3:

• 
  `-24x-7`

____________________________