Question

I have a question.

Answer 1

Solve for x: 5 − (x + 5) > −2(x + 4)

x > −8
x < −8
x > −18
x < −18

Answer 2

If you want to make sure you are right, then show what you did, and we'll let you know if you're right or not.

Answer 3

x > -8 I think

Answer 4

Okay, first I distributed the 5 and the 2.

I got 5x + 25 > -2x + 8

Answer 5

Am I going in the right direction?

Answer 6

No. Notice the - sign after the 5.
That - sign before the parentheses is as if the re is a -1 multiplying the parentheses.
You need to distribute -1.

5 - (x + 5) >-2(x + 4)

5 -1(x + 5) > -2(x + 4)

Now distribute the -1 above on the left side.
At the same time, you can also distribute the -2 on the right side.

Answer 7

So 5 - 1x + -5 > 2x -8?

Answer 8

Then I would add like terms and get 0 x > 2x -8

Answer 9

After that I would add 2x to both sides and get x > -8?

Answer 10

Be careful with the right side.
You need to multiply what is in the parentheses by -2.
-2 * x = -2x
-2 * 4 = -8
The right side becomes -2x - 8

Answer 11

The left side is correct but you can simplify to

5 - x - 5 > -2x - 8

Answer 12

Ok so far?

Answer 13

Yes. I would then simplify the terms and get 0 x on left. I would then add 2x to both sides and end up with -8

Answer 14

So x less than or equal to -8?

Answer 15

Wait.
Look at the left side.
5 - x - 5 has 5 - 5, so the 5's cancel out leaving just x.

5 - x - 5 > -2x - 8

-x > -2x - 8

Ok?

Answer 16

Yes.

Answer 17

Ah, then I would add the 2x to the left and right side and get x > -8?

Answer 18

Correct.

Answer 19

Thanks for spending your time helping me.

Answer 20

You're welcome.