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!

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!

mathlegend · Answer

@AGummiBear55

mathlegend · Answer

Can you tell me what you did wrong on step number 2 @AGummiBear55 ?

mathlegend · Answer

If you look at it... the 5 is not being distributed... it is just the negative sign.

mathlegend · Answer

So knowing that please rewrite the 2nd line.