SOLUTION: Hello Tutors! I am never able to do quetions like this! Could you also please show all working out so I can figure it out? Solve for x: 3 - x / 4 < 2 - 3x / 5 Note: Th

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Hello Tutors! I am never able to do quetions like this! Could you also please show all working out so I can figure it out? Solve for x: 3 - x / 4 < 2 - 3x / 5 Note: Th      Log On


   

Question 181885: Hello Tutors!
I am never able to do quetions like this! Could you also please show all working out so I can figure it out?
Solve for x: 3 - x / 4 < 2 - 3x / 5
Note: This is are Linear Inequation. The / indicates a fraction with 3 - x at the top and 4 and the bottom. And also 2 - 3x and 5 at the bottom.
Thank you so much!!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
%283+-+x%29+%2F+4+%3C+%282+-+3x%29+%2F+5+
Begin by multiplying both sides by 20 -- common denominator:
5%283+-+x%29+%3C+4%282+-+3x%29+
Distribute:
15+-+5x+%3C+8+-+12x+
15+%2B+7x+%3C+8+
7x+%3C+-7+
x+%3C+-1+