Question

Ac=3x+6 and CD=2x+14 what is the value of x

Answer 1

Answer:

$x=8$

Step-by-step explanation:

We have been given that $AC=3x+6$ and $CD=2x+14$.

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

$3x+6=2x+14$

$3x-2x+6=2x-2x+14$

$x+6=14$

$x+6-6=14-6$

$x=8$

Therefore, the value of x is 8.

Answer 2

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