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find the value of x show your work in the diagram below C is the midpoint of segment a b, a c equals 5x + 2 + CB equals 3x + 12 find the value of x

find the value of x show your work in the diagram below C is the midpoint of segment a b a c equals 5x 2 CB equals 3x 12 find the value of x class=

Respuesta :

Answer:

Initial equation: 5x + 2 = 3x + 12

x = 5

Step-by-step explanation:

Point C is the midpoint between A and B.

This means that:

AC = CB

We have that:

AC = 5x + 2

CB = 3x + 12

Since AC = CB, the initial equation is:

5x + 2 = 3x + 12

Now we can solve

5x + 2 = 3x + 12

5x - 3x = 12 - 2

2x = 10

x = 10/2

x = 5