SOLUTION: I would like to see step by step how this problem is solved 3|2x+5|-2<18

Question 93259: I would like to see step by step how this problem is solved 3|2x+5|-2<18
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3|2x+5|-2<18
------------
Add 2 to both sides:
3|2x+5| < 20
Divide both sides by 3:
|2x+5| < (20/3)
Interpret the meaning of |a| < b
as -b < a < b
-(20/3) < 2x+5 < (20/3)
Subtract 5 along the line to get:
-(35/3) < 2x < 5/3
Divide by 2 along the line to get:
-(35/6) < x < 5/6
=============
Cheers,
Stan H.
RELATED QUESTIONS
I would like step by step solving instructions and the answer, step by step, to this... (answered by josmiceli)

Find the equation of the line...parallel to the line y=-5x+3 passing through the... (answered by Fombitz)

I would like to get step by step workings for this question 2 3/5 - 4/5 (answered by jim_thompson5910)

I have tried to solve this problem. It is dealing with distributive properties. I need... (answered by nerdybill)

I would like step by step solution on solving this problem. 3(2x-2)=24-3x. thank... (answered by MathLover1)

-[3x-(2x+5)]=-4-[3(2x-4)-3x] i need to see how this is done step by step to understand... (answered by jim_thompson5910)

How would you do this kind of problem? Show step by step PLEASE! I get very confused with (answered by ankor@dixie-net.com)

I would like to see a step by step solving for y=4x. HOw do I figure the plotting... (answered by checkley77)

7x +7=5-3x +6 I would like step by step help on how to do this... (answered by Earlsdon,CharlesG2)