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
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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