Question

Solve for x: 5 − (x + 5) > −2(x + 4)

x > −8

x < −8

x > −18

x < −18

Answer 1

First, distribute the negative sign on the left side and the -2 on the right side. A negative outside parentheses is the same as multiplying by -1.

5 − (x + 5) > −2(x + 4)

5 - x - 5 > -2x - 8

Ok so far?

Answer 2

yes

Answer 3

Now combine like terms on the left side.
What is 5 - 5 = ?

Answer 4

0

Answer 5

So the left side becomes simply -x

-x > -2x + 8

Now add 2x to both sides to bring all x's to the left side.

Answer 6

is that +8 supposed to be -8?

Answer 7

and you would get x and x

Answer 8

Yes. I made a mistake copying from above.

-x > -2x - 8

Now add 2x to both sides.

Answer 9

the -2x plus 2x would cancel out