SOLUTION: I need answer to this asap. I'm just not getting these... (9x+8) = (-3x+9) The ( ) represent absolute value marks

Question 42764: I need answer to this asap. I'm just not getting these...
(9x+8) = (-3x+9)
The ( ) represent absolute value marks
Found 2 solutions by tutorcecilia, josmiceli:
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
I need answer to this asap. I'm just not getting these...
(9x+8) = (-3x+9)
9x+8=-3x+9
9x+8-8=-3x+9-8
9x=-3x+1
9x+3x=-3x+3x+1
12x=1.
12x/12=1/12
x=1/12
Check the answer by plugging x=1/12 back into the original problem.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Here's the scoop. When you see the absolute value signs,
do whatever's inside them as if they weren't there.
Then, whatever the sign of the result is, make it POSITIVE.
Also, abs(a + b) does not equal abs(a) + abs(b)
You can see this by choosing a & b
abs(3 + (-5)) =? abs(3) + abs(-5)
2 not equal to 8

------------------------------

I applied a little logic here. It's a dumbed-down
approach, but it works.
x will be positive OR negative. It might be either one,
so I'll try both cases. I'll say x = +a OR x = -a.
I'll drop the absolute value sign and pick them up
later.

and the other possibility,

check the 1st case, a = 1/12

this is TRUE
Let's check the other possibility, a = -1/12

NOT TRUE
So a = +1/12, and x = +1/12
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