1/2mx-5/3=1/2(x-4/3)1/2mx-5/3=1/2x-2/31/2mx-1/2x =5/3-2/31/2mx-1/2x =1(m-1)x =2X=2/(m-1),若解是正整数,m为整数,则m-1=1或m-1=2,∴m=2或3 (若m不是整数,则取值又无限多)