a: x>=5
=>|x-5|=x-5; |3-x|=|x-3|=x-3
|x-5|+|3-x|-3=15
=>|x-5|+|x-3|=18
=>x-5+x-3=18
=>2x-8=18
=>2x=26
=>x=13(nhận)
b: \(-5< =x< \dfrac{3}{2}\)
=>x+5>=0; x-3/2<0
=>\(\left|x+5\right|=x+5;\left|2x-3\right|=2\left|x-\dfrac{3}{2}\right|=2\left(\dfrac{3}{2}-x\right)\)
\(\left|2x-3\right|+\left|x+5\right|=3\)
=>\(2\left(\dfrac{3}{2}-x\right)+x+5=3\)
=>3-2x+x+5=3
=>8-x=3
=>x=5(loại)