解答:解:(1)原式通分得:2(2x+1)6-5x-16=1,整理得:4x+2-5x+16=1,将其变形得:-x+3=6,∴x=-3.(2)原式变形为:x+3=2x-53+x-25,将其通分并整理得:10x-25+3x-6=15x+45,即-2x=76,∴x=-38.