Solve the equation $|3x-4|=|3x-5|$ ?

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Answer 1 · 2017-01-18T06:40:22

$x=3/2$

As $|3x-4|=|3x-5|$ , we have

either $3x-4=3x-5$ i.e. $-4=-5$ , which is not possible

or $3x-4=-(3x-5)$ i.e. $3x-4=-3x+5$ i.e. $6x=9$ $3x-4=-(3x-5)$

and $x=9/6=3/2$ , which is the only aswer.

Solve the equation |3x-4|=|3x-5||3x-4|=|3x-5|?