Question

1. which expression is equivalent to $4 - 3(x + 2) + 2(3 - 2x)$?

a. $-7x + 16$
b. $-7x + 4$
c. $-x + 16$
d. $-x + 4$

Explanation:

Step1: Expand the expressions

First, expand \( -3(x + 2) \) and \( 2(3 - 2x) \) using the distributive property \( a(b + c)=ab+ac \).
For \( -3(x + 2) \), we have \( -3\times x+(-3)\times2=-3x - 6 \).
For \( 2(3 - 2x) \), we have \( 2\times3-2\times2x = 6-4x \).

Step2: Combine like terms

Now, substitute the expanded forms back into the original expression \( 4-3(x + 2)+2(3 - 2x) \):

$$
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$$

Answer:

B. \(-7x + 4\)