Question

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

Answer 1

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 2

`x=8`

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.