Question

question 12 of 45
which of the following expressions is equivalent to $4(x + 2) + 3(2x - 1)$?
a $3x + 8$
b $5(2x + 1)$
c $10(x + 1)$
d $15x$

Explanation:

Step1: Expand the first term

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

Step2: Expand the second term

$3(2x-1) = 6x - 3$

Step3: Combine the expanded terms

$(4x + 8) + (6x - 3)$

Step4: Combine like terms

$4x + 6x + 8 - 3 = 10x + 5$

Step5: Factor the result

$10x + 5 = 5(2x + 1)$

Answer:

B. $5(2x + 1)$