Question

1 which of the following is equivalent to $4(x + 2) - 3(x - 1)$?
a. $7x + 1$
b. $x + 5$
c. $x + 11$
d. $7x - 5$

Explanation:

Step1: Expand left side

$4(x + 2) = 4x + 8$

Step2: Expand right side

$-3(x - 1) = -3x + 3$

Step3: Combine terms

$4x + 8 - 3x + 3 = x + 11$

Wait, correction: Wait no, wait the original expression is $4(x + 2) - 3(x - 1)$? Wait no, wait the user's question says "equivalent to $4(x + 2) - 3(x - 1)$"? Wait no, let's recheck:

Wait no, let's redo:

Step1: Expand 4(x+2)

$4x + 8$

Step2: Expand -3(x-1)

$-3x + 3$

Step3: Add the two results

$4x +8 -3x +3 = (4x-3x)+(8+3)=x+11$

Wait the options: option c is x+11. Oh I made a mistake earlier. Let's correct:

Step1: Expand first term

$4(x + 2) = 4x + 8$

Step2: Expand second term

$-3(x - 1) = -3x + 3$

Step3: Combine like terms

$(4x - 3x) + (8 + 3) = x + 11$

Answer:

a. 7x + 1