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

User Pebbles
by
4.4k points

2 Answers

6 votes

Answer:

20x + 18

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.

User Caron
by
4.5k points
4 votes

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

User Surikator
by
3.6k points