What is the value of x? Justify each step.
AC=32
2x 6x+8
.__________________._________________.
A B C
Drawing not to scale

AB + BC = AC a.__________________________
2x+6x + 8 =32 b. __________________________
8x + 8 =32 c. __________________________
8x =24 d. __________________________
X =3 e. __________________________

Question

What is the value of x? Justify each step.
   AC=32
                 2x                           6x+8
     .__________________._________________.
     A                           B                          C
                  Drawing not to scale

AB + BC = AC      a.__________________________ 
2x+6x + 8 =32   b. __________________________ 
8x + 8 =32          c. __________________________
8x =24                d. __________________________ 
X =3                    e. __________________________

directrix · Answer

@Tabbiejack    Is this question from a Geometry class?

Have you studied such statements as the Segment Addition Postulate?

directrix · Answer

>>My son is in Geometry and he takes advantage of me not know so I am seeking help

@Tabbiejack   I understand that you want your son to do well in Geometry but shouldn't he be on this site so that he can learn Geometry?

directrix · Answer

>> is it some wrong with that?   That is not for me to judge.

>> so I can check his homework

Okay. Post what he answered, and I will check it.