SOLUTION: What is the solution set of |2-0.2x|=5

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Question 1062032: What is the solution set of |2-0.2x|=5
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Condition of 2-0.2x%3E=0, means abs%282-0.2x%29=2-0.2x=5.
-0.2x=3
x=-3%2F0.2
x=-15

Condition of 2-0.2x<0 means abs%282-0.2x%29=-%282-0.2x%29=0.2x-2=5.
0.2x=7
x=7%2F0.2
x=35

system%28SOLUTIONS%2Cx=-15%2COR%2Cx=35%29

If you check each solution piece, they each will work.