Question

simplify 3 - (4x - 5) + 6.
a 12x + 21
b 4x + 14
c 4x + 4
d -4x + 14
e -4x + 4

Explanation:

Step1: Remove parentheses (distribute the negative)

To simplify \( 3 - (4x - 5) + 6 \), we first distribute the negative sign to the terms inside the parentheses. The negative sign in front of \( (4x - 5) \) means we multiply each term inside by -1. So, \( - (4x - 5) = -4x + 5 \). Now the expression becomes \( 3 - 4x + 5 + 6 \).

Step2: Combine like terms

Next, we combine the constant terms (the terms without \( x \)). The constant terms are 3, 5, and 6. Adding them together: \( 3 + 5 + 6 = 14 \). The term with \( x \) is \( -4x \), which doesn't combine with any other \( x \)-terms. So putting it all together, we have \( -4x + 14 \).

Answer:

D. -4x + 14