Question

PLEASE HELP me solve the inequality: –2(x – 3) ≥ 5 – (x + 3) Here's my work so far: -2(x-3)>=5-(x-3)
-2x+6>=5-5x+15
-2x+6>=5x-10
-6 on both sides
-2x>=5x-16
-5x on both sides
-7x>=-16
-7x on both sides
That's what I'm doing but it isn't getting the right answer , I think! HELP!

Answer 1

–2(x – 3) ≥ 5 – (x + 3)
-2x + 6 ≥ 5 - x - 3
-2x + 6 ≥ 5 - 3 - x
-2x + 6 ≥ 2 - x
6 - 2 ≥ 2x - x
4 ≥ x

Answer 2

AH! Genius!! :D

Answer 3

... wait... how did you get -2x + 6 ≥ 5 - x - 3 ??

Answer 4

Distribute the negative

Answer 5

Yeah, but don't you distribute 5 to x for 5x and then 5 to 3 to get 15?!?

Answer 6

No bro. Don't you see that my solution is correct?

Answer 7

Yeah, I do... guess I'm still a little confused though...

Answer 8

The 5 is not being multiplied with the (x+3); it is 5 + -1(x+3) which gives 5 - x - 3

Answer 9

ahh... I got it now... thanks you guys!!! :D