SOLUTION: Can someone please help me solve and graph? Thanks! {x+2} = 3 the parenthesis is absolute value. I believe the answer is -5,1. But, I'm not sure how to show the work out.

Question 73252: Can someone please help me solve and graph? Thanks!
{x+2} = 3 the parenthesis is absolute value. I believe the answer is -5,1. But, I'm not sure how to show the work out.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!

.
You have both answers correct. Here's one way that you can do the math. It involves
solving two equations.
.
Begin by pulling the quantity out of the absolute value signs. In this problem that quantity
is (x+2).
.
For the first equation set up and solve the problem with a plus sign in front of the quantity:
.

.
Since the parentheses are preceded by a plus sign, you can just remove them and the equation
becomes:
.

.
Subtract 2 from both sides of this equation to eliminate the 2 on the left side and the
equation is then:
.

.
This is one of the answers you are looking for.
.
Now recall that near the start we set up the equation with a plus sign in front of the quantity.
Well, let's do that again EXCEPT this time we'll put a minus sign in front of the quantity.
.

.
When you remove the parentheses this time the minus sign in front of them makes it necessary
to change the sign of everything inside the parentheses. [In effect you are multiplying
the quantity by minus 1.] So the resulting equation is:
.

.
Add 2 to both sides of the equation to eliminate the -2 on the left side. Adding this 2
makes the equation become:
.

.
To solve for x just multiply both sides of the equation by -1 to get:
.

.
Now you have both answers. One of the answers is x = 1 and the other answer is x = -5.
The graph of these two answers is the number line with dots at +1 and -5 as shown below:
.

.
I hope this method makes it easier for you to work these problems.
RELATED QUESTIONS
Can someone help me with finding the solution to: (6+3x)<-8 The parenthesis should... (answered by WoWLeaky)

Can you please help me with absolute values? I have this problem here and I am not sure... (answered by Alan3354)

x = 5 + 2x - 3 Solve the value of x I do believe the answer is -2 but I do not... (answered by mananth)

In the equation of a parabola y = (x-5)^2 + 4, I understand the vertex is (5,4). I don't... (answered by stanbon)

I need help. I'm supposed to solve and graph this equation y=absolute value of x-4 but... (answered by stanbon)

Find the absolute maximum and absolute minimum values of the function below. If an... (answered by jim_thompson5910)

please help me find the answer. I can do the basic distributive property problems, but... (answered by Fombitz,vleith)

I have a worksheet and have two questions for you. I am totally lost. 1. Solve... (answered by gonzo)

This problem stumped me last night and tried to work it out but have no clue how I... (answered by solver91311)