解:|2k-3+k+2|=|-4k-5+k+2| |3k-1|=|-3k-3|方程两边平方,可得: |3k-1|²=|-3k-3|²9k²-6k+1=9k²+18k+918k+6k=1-924k=-8k=-8/24k=-1/3
|2k-3+k+2| = |-4k-5+k+2||3k-1| = |-k-3| = |k+3|3k-1 = k+3, 2k = 4, k = 2 ;或 3k-1 = -k-3, 4k = -2, k = -1/2.