|7x−3|≥|3x−8| how can I solve this, what's the first step?

Perhaps this graph will help

Find the intersection points by setting

1.   7x-3 = 3x-8

2.  -(7x-3) = 3x-8

It is great that you have graphed this Alan - I would not have thought to do that.  

Thank you so much :) Just needed the start :)

You know you get preferential treatment if you are a member, especially when you have such good manners.