SOLUTION: [5x+2]=3 Okay the paratheses should be just straight lines. I have done some of the example problems in my book but come out way wrong. Can someone please tell step by step how

Question 72765This question is from textbook Developmental Mathematics
: [5x+2]=3 Okay the paratheses should be just straight lines. I have done some of the example problems in my book but come out way wrong. Can someone please tell step by step how to do these? I don't think I will ever take another online class again. Thanks This question is from textbook Developmental Mathematics

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
[5x+2]=3 Okay the paratheses should be just straight lines
It appears that you are dealing with an "absolute" value equation. The absolute value of a number is always positive. Take the equation:
[x]=5, then x=+5 and x=-5. Lets look at your problem:
[5x+2]=3 in order to get rid of the absolute value sign, we need to break the equation into two components:
+(5x+2)=3 and -(5x+2)=3 In order to get the complete answer, we need to solve both equations for x
First
+(5x+2)=3 get rid of parens
5x+2=3 subtract 2 from both sides
5x+2-2=3-2 collect like terms
5x=1 divide both sides by 5
x=1/5----------------------------------one answer
Next
-(5x+2)=3 get rid of parens
-5x-2=3 add 2 to both sides
-5x-2+2=3+2 collect like terms
-5x=5 divide both sides by -5
x=-1--------------------------------the other answer
[5*(1/5)+2]=3
[1+2]=3
3=3
[5*(-1)+2]=3
[-5+2]=3
3=3
SINCE YOU ARE TAKING AN ONLINE COURSE, I RECOMMEND THAT YOU MAKE AS MUCH USE OF THE INTERNET FOR RESEARCH AS YOU CAN. FOR EXAMPLE, DO A GOOGLE SEARCH ON "ABSOLUTE VALUE EQUATIONS" AND SEE WHAT YOU COME UP WITH.

Hope this helps.-----------------ptaylor

RELATED QUESTIONS
I would greatly appreciate some help with factoring. I understand that is basically... (answered by Nate)

I have a problem with my homework. the answer in the book is not matching what I have... (answered by bucky)

Hello, I would like to know, if possible can you please explain to me how these algebra... (answered by stanbon,nerdybill)

I need help with the simplifing the following 2 problems: 10+(5-3)^-2+5^0 and (7-3)^3+ (answered by Tatiana_Stebko)

Ok, My son came home from school today with Math homework. He is in Algebra 1 and they... (answered by Earlsdon,scott8148,samuenkadi)

I am trying to help my 9th grade brother with his homework. He does not have his text... (answered by checkley71)

Okay, here it is. Sketch the graph of the rational function. y=(x-2)/(x-3) I... (answered by stanbon)

I want to know if I should apply the quadratic eqution formula to this problems: x^2 +3... (answered by scott8148)

Hello, I have no idea how to do the following problems. I have tried but I just don't get (answered by checkley71)