SOLUTION: abs(x-2)+ 4 = 2x I tried but I keep getting different things and then I got a negative but I know that isn't right because I have answer choices and there no negatives so please

Algebra ->  Absolute-value -> SOLUTION: abs(x-2)+ 4 = 2x I tried but I keep getting different things and then I got a negative but I know that isn't right because I have answer choices and there no negatives so please       Log On


   

Question 595979: abs(x-2)+ 4 = 2x
I tried but I keep getting different things and then I got a negative but I know that isn't right because I have answer choices and there no negatives so please help. I don't get the x on the 2 at all and I have no idea how to solve this.
Found 2 solutions by jim_thompson5910, scott8148:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28x-2%29%2B+4+=+2x

abs%28x-2%29+=+2x-4

x-2+=+2x-4 or x-2+=+-%282x-4%29

x-2+=+2x-4 or x-2+=+-2x%2B4

x-2-2x+=+-4 or x-2%2B2x+=+4

-x-2+=+-4 or 3x-2+=+4

-x+=+-4%2B2 or 3x+=+4%2B2

-x+=+-2 or 3x+=+6

x+=+-2%2F%28-1%29 or x+=+6%2F3

x+=+2 or x+=+2


So the only solution is really x=2

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
subtracting 4 ___ abs(x - 2) = 2x - 4

removing abs ___ x - 2 = 2x - 4 ___ AND ___ x - 2 = -(2x - 4)

x - 2 = 2x - 4 ___ 2 = x

x - 2 = -(2x - 4) ___ x - 2 = 4 - 2x ___ 3x = 6 ___ x = 2