SOLUTION: 2|x-5|=3x i have to solve the equation this is a problem the teacher assigned himself

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Question 130887: 2|x-5|=3x i have to solve the equation this is a problem the teacher assigned himself
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
2|x-5|=3x
.
2x-10=3x
2x-2x-10=3x-2x
x=-10
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2* -(x-5)=3x
2(-x+5)=3x
-2x+10=3x
-2x+2x+10=3x+2x
10=5x
x=2
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Check:
2|-10-5|=3*-10
2|-15|=-30
2*15=-30 false
.
2|2-5|=6
2|-3|=6
2*3=6 true
.
x=2 is the only answer.
.
Ed