SOLUTION: Solve the equation for x. |10x-1|+5=12 The solution set is?

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Question 901996: Solve the equation for x.
|10x-1|+5=12
The solution set is?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
A part of this set of steps is not fully explained here, so you may need to think about the logic to understand these TWO cases.

Either 10x-1%3E=0;
10x-1%2B5=12
10x=8
x=4%2F5

OR

10x-1%3C0;
-10x%2B1%2B5=12
-10x=6
x=-6%2F10
x=-3%2F5

x is an element of {-3/5, 4/5 }