High School

1. Mateo is going to solve the equation below.

Which of the following represents the equation after combining the like terms?

\[ -8x + 23 - 22x + 9 = 182 \]

A. \( 14x + 32 = 182 \)
B. \( -30x + 32 = 182 \)
C. \( 14x + 14 = 182 \)
D. \( -30x + 14 = 182 \)

Answer :

The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 , where x = -5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation is,

-8x + 23 – 22x + 9 = 182

Taking alike terms together we get,

-8x – 22x + 23 + 9 = 182

Solving we get,

– 30x + 32 = 182

Subtracting 32 both the side we get,

– 30x + 32 - 32 = 182 - 32

Solving we get,

– 30x = 150

⇒ x = -5

Thus, The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 where, x = -5.

To learn more about equations:

https://brainly.com/question/12720088

#SPJ2

Answer: B

Step-by-step explanation: The answer would be B because both the 8x and 22x are both negative so once you add those two together you would get -30x so that cancels out A and C. SO now you move onto 23 and 9 well both of those are positive so you would add those together and get 32 so that cancels out D and only answer left is B