Answer:
x=2.
Step-by-step explanation:
It is given that points A, B, and C are collinear. Point B is between A and C.
Using segment addition property, we get
[tex]AC=AB+BC[/tex]
It is given that AC = 3x + 3, BC = 3, and AB = 2x + 2.
[tex]3x+3=(2x+2)+3[/tex]
[tex]3x+3=2x+5[/tex]
Isolate variable terms.
[tex]3x-2x=5-3[/tex]
[tex]x=2[/tex]
Therefore, the value of x is 2.
