Answer:
|x-1|=5
Step-by-step explanation:
From the diagram you can see that the solutions of the equation are [tex]x_1=-4[/tex] and [tex]x_2=6[/tex]
1. Find the midpoint between -4 and 6:
1/2(-4+6)=1
2. Find the distance between points x=1 and x=6 (or between x=1 and x=-4):
d=6-1=5
3. Writhe an absolute value equation (the distanse from endpoints [tex]x_1=-4[/tex] and [tex]x_2=6[/tex] to the midpoint x=1 is equal 5):
|x-1|=5
