Question

已知关于x的方程2(m+1）=m-2(x-m)的解满足x+3的绝对值=2.求m的值

Answer 1

|x+3|=2,x=2-3或x=-2-3 即x=-1或x=-5 当x=-1时,2(m+1)=m-2(x-m) 2(m+1)=m-2(-1-m) 2m+2=m+2+2m m=0 当x=-5时,2(m+1)=m-2(x-m) 2m+2=m-2(-5-m) m=-8