CPM Homework Help : CC1 Problem 6-74

Are the following expressions equivalent?

$3(4x-2)+8$

$2(6x+1)$

Step 1:

Substitute $1$ for $x$ into both expressions.
$3(4(1) − 2) + 8 = 3(4 − 2) + 8 = 3(2) + 8 = 14$
$2(6(1) + 1) = 2(7) = 14$

Step 2:

Now substitute $2$ for $x$ .
$3(4(2) − 2) + 8 = 3(8 − 2) + 8 = 3(6) + 8 = 26$
$2(6(2) + 1) = 2(12 + 1) = 26$

Answer:

You can try other values for $x$ . It appears they are the same.