SOLUTION: 10-|2x-1|=4 What's the first step? I'm stuck

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Question 986002: 10-|2x-1|=4
What's the first step? I'm stuck
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
10-|2x-1|=4
isolate the absolute value
-|2x-1|=-6
Multiply by minus 1
|2x-1|=6
This is 2x-1=6; 2x=7; x=3.5
It is also 2x-1=-6; 2x=-5; x=-2.5
;
check
10-|7-1|=4 yes
10-|-5-1|=10-|-6|, but |-6|=6, so 10-6=4.
You can always get the first equation by removing the brackets. The second one requires sign changes.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
10-abs%282x-1%29=4....here, you are asked to find a value of x that makes 10-abs%282x-1%29 equal to 4, or the intersection points of the 10-abs%282x-1%29 and horizontal line y=4
10-4=abs%282x-1%29
6=abs%282x-1%29..........since abs%282x-1%29=sqrt%28%282x-1%29%5E2%29 => we will have %282x-1%29 and -%282x-1%29}
solutions:
6=2x-1=>6%2B1=2x=>7=2x=>highlight%28x=7%2F2%29
6=-%282x-1%29=>6=-2x%2B1=>2x=1-6=>2x=-5=>highlight%28x=-5%2F2%29