Respuesta :

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AC = CD 

And since the problem gave us two equations to use we will substitute them into the previous statement. 

3x + 6 = 2x + 14 
We now simplify with algebra and I will show every step. 

3x + 6 = 2x + 14 
-2x = -2x 

x + 6 = +14 
-6 = -6 

x = 8 

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

We have been given that [tex]AC=3x+6[/tex] and [tex]CD=2x+14[/tex].

To solve for x, we are assuming that C is the midpoint of segment AD and we will equate both expressions as:

[tex]3x+6=2x+14[/tex]

[tex]3x-2x+6=2x-2x+14[/tex]

[tex]x+6=14[/tex]

[tex]x+6-6=14-6[/tex]

[tex]x=8[/tex]

Therefore, the value of x is 8.

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