Question

select the correct answer.
what is the simplified form of this expression?
(8x - 7) + (-2x - 9) - (4x - 3)
a. 2x - 13
b. 2x - 19
c. 2x - 5
d. 2x + 1

Explanation:

Step1: Remove parentheses

We first remove the parentheses according to the rules of signs. When there is a positive sign in front of a parenthesis, the terms inside remain the same; when there is a negative sign in front of a parenthesis, we change the sign of each term inside. So we have:
\(8x - 7- 2x - 9 - 4x + 3\)

Step2: Combine like - term (x - terms)

We combine the x - terms: \(8x-2x - 4x=(8 - 2-4)x = 2x\)

Step3: Combine like - term (constant terms)

We combine the constant terms: \(-7-9 + 3=(-7-9)+3=-16 + 3=-13\)

Step4: Combine the results

Combining the results of the x - terms and the constant terms, we get \(2x-13\)

Answer:

A. \(2x - 13\)