Question

7(4x - 2) - 4(2x - 8)

Answer 1

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

Answer 2

Step-by-step explanation:

Step 1:  Distribute

$7(4x - 2) - 4(2x - 8)$

$(7 * 4x) + (7 * -2) + (-4 * 2x) + (-4 * -8)$

$(28x) + (-14) + (-8x) + (32)$

$28x - 14 - 8x + 32$

Step 2:  Combine like terms

$28x - 14 - 8x + 32$

$20x + 18$

Answer:  $20x + 18$