SOLUTION: Solve |x+2|=7

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Question 1013037: Solve
|x+2|=7
Found 4 solutions by josmiceli, MathLover1, rothauserc, fractalier:
Answer by josmiceli(19441)   (Show Source):
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The absolute value signs on the left side convert
whatever is inside the absolute value signs to a
positive number. The right side is also a positive
number, so the equation makes sense.
[ positive number ] = [ positive number ]
----------------------------------
Inside the absolute value signs can be or
it can be and the equation is still true.

and

Those are the 2 solutions
check:
(1)
(1)
and
(2)
(2)
OK

Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!

same as

or
if =>=>
if => =>=>

Answer by rothauserc(4718)   (Show Source):
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We have two cases
1) x + 2 = 7
x = 5
2) -(x + 2) = 7
-x - 2 = 7
-x= 9
x = -9
*****************************
Therefore, x = 5 or x = -9

Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website!
To solve absolute value equations, we break this, |x+2|=7, into two equations and solve them separately...
x + 2 = 7 and x + 2 = -7
We get
x = 5 and x = -9