SOLUTION: My teacher gave us homework for tonight and I understand all but one question of it. Im not sure when a number is supposed to reject as well. Solve for the value(s) of x that sa

Question 663826: My teacher gave us homework for tonight and I understand all but one question of it. Im not sure when a number is supposed to reject as well.
Solve for the value(s) of x that satisfy the equation |x - 3|= 2x-3.
thank you!!
Found 2 solutions by Alan3354, lwsshak3:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
|x - 3|= 2x-3
Case 1:
x - 3 = 2x - 3
x = 0
============
Case 2:
-(x-3) = 2x - 3
3-x = 2x - 3
6 = 3x
x = 2

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve for the value(s) of x that satisfy the equation |x - 3|= 2x-3
You must find solutions for 2 possibilities:
For (x-3)>0
x-3=2x-3
x≠2x
no solution
..
For (x-3)<0
-(x-3)=2x-3
-x+3=2x-3
3x=6
x=2
check:
|x - 3|= 2x-3
|2 - 3|= 2*2-3
|-1|= 4-3
1=1
solution: x=2
RELATED QUESTIONS
A problem on my math homework really gave me a hard time trying to understand it because... (answered by josgarithmetic,stanbon)
My math teacher has given us a review for a huge test on friday. it is "A line with a... (answered by ankor@dixie-net.com,ikleyn)
My math teacher gave us homework for the weekend and I understand the majority of it, but (answered by MathLover1)
My math teacher gave us homework for the weekend and I understand the majority of it, but (answered by MathLover1,solver91311)
ok here is my problem me and my friend michael have the whole problem solved, we would... (answered by stanbon)
Alana drove to Ottawa at 97 km/h. she drove a total of 845 km. how long did it take her... (answered by JulietG)
I honestly have no idea how to do any of this and my teacher just gave it to us but the... (answered by jim_thompson5910)
my math teacher gave us a question like this.....find out if the statement is... (answered by Alan3354,rfer)
24x^2-37-5 my teacher taugt us lIke multi:AC then subtract to get -37 0k so 24*5=120... (answered by jim_thompson5910)