SOLUTION: can you show me step by step on how to solve this : |x-3|= 2x

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Question 776966: can you show me step by step on how to solve this : |x-3|= 2x
Found 2 solutions by sofiyac, MathTherapy:
Answer by sofiyac(983)   (Show Source): You can put this solution on YOUR website!
case one leave as is, case two replace absolute value with regular parenthesis and put a negative in front
case 1:
x-3=2x subtract x from each side
-3=x
case 2:
-(x-3)=2x
-x+3=2x add x to each side
3=3x divide each side by 3
1=x
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

can you show me step by step on how to solve this : |x-3|= 2x

|x - 3| = 2x

Either x - 3 = 2x__________________OR__________________x - 3 = - 2x

Either x - 2x = 3__________________OR__________________x + 2x = 3

Either - x = 3____________________OR__________________3x = 3

Either x = - 3_____________________OR__________________x = , or 1

Checking by substituting - 3, we find that - 3 is an EXTRANEOUS solution as

Substituting 1 in the original absolute-value equation though yields a true statement. Therefore,

You can do the check!!

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