SOLUTION: solve the following equations a) |2x+4|=|5x-2| b) |5-3u|=|3+2u| c) |4+t/2|=|3/2t-2| d) |2s-3|=|7-s|

Algebra ->  Absolute-value -> SOLUTION: solve the following equations a) |2x+4|=|5x-2| b) |5-3u|=|3+2u| c) |4+t/2|=|3/2t-2| d) |2s-3|=|7-s|       Log On


   

Question 176061: solve the following equations
a) |2x+4|=|5x-2|
b) |5-3u|=|3+2u|
c) |4+t/2|=|3/2t-2|
d) |2s-3|=|7-s|
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
a) abs%282x+%2B+4%29+=+abs%285x+-+2%29 → 2x+%2B+4+=+5x+-+2 or 2x+%2B+4+=+-%28+5x+-+2+%29+.

So -3x+=+-6 → x+=+2 or 7x+=+-2 → x+=+-2%2F7

Do the rest of them the same way.