SOLUTION: Solve for x: {{{abs(3x+5)+4=9}}}

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Question 146264: Solve for x:

Found 3 solutions by jim_thompson5910, stanbon, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation


Subtract 4 from both sides.


Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 5 and it's opposite -5




Now lets focus on the first equation


Subtract 5 from both sides


Combine like terms on the right side


Divide both sides by 3 to isolate x



Reduce






Now lets focus on the second equation



Subtract 5 from both sides


Combine like terms on the right side


Divide both sides by 3 to isolate x



Divide





So the solutions to are:

and


So you are correct.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
|3x+5|+4=9
Yes you subtract 4 from both sides to get:
|3x+5| = 5
The only way that can be true is if
3x+5 = 5 or 3x+5 = -5
3x = 0 or 3x = -10
x = 0 or x = -10/3
=======================
Cheers,
Stan H.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!



In an absolute value equation, you solve two equations:

1.  Write the equation substituting ""
    for "", and solve for x.

2.  Write the equation again substituting ""
    for "", and solve for x.
    

For your equation:



1. Write and solve the equation:


 




2. Write and solve the equation:


 


 

Edwin
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