Find m in this equation

Question

X has to have 2 answers

Find m

|x-1|+|x-m|+|x-3|=2m+1

Answer 1

x-1+x-m+x-3=2m+1

3x-4-m=2m+1

3x=4+m+2m+1

3x=5+3m

3x/3=(5+3m)/3

x=(5+3m)/3

x-1+x-m+x-3=-(2m+1)

3x-4-m=-2m-1

3x=4+m-2m-1

3x=3-m

3x/3=(3-m)/3

x=(3-m)/3