Question

combine like terms and distributive property
susan carbone
try this one on your own
$2(7x - 4) - 9(x + 1)$
pause the video until you completely solve
multiple-choice question
what do you get when you distribute the 2?
$6x$
$14x - 8$
$14x - 4$
$9x - 6$
rewatch

Explanation:

Step1: Distribute 2 to $7x-4$

$2(7x - 4) = 2\times7x - 2\times4 = 14x - 8$

Step2: Distribute -9 to $x+1$

$-9(x + 1) = -9\times x + (-9)\times1 = -9x - 9$

Step3: Combine the two results

$(14x - 8) + (-9x - 9) = 14x - 9x - 8 - 9$

Step4: Simplify like terms

$5x - 17$
Wait, correction: Re-read question: "What do you get when you distribute the 2?"

Step1: Distribute 2 to each term in $7x-4$

$2(7x - 4) = 2\times7x - 2\times4 = 14x - 8$

Answer:

B. $14x - 8$