14. what is the value of x? justify each step.

(5 points)

ac = 32

6x + 8

а

в

drawing not to scale.

ab+ bc = ac

2x +6x+8 = 32

con

8x+8 = 32

m

8x = 24

x=3

mm-

x=3

Step-by-step explanation:

Given information: AC=32, AB=2x, BC=6x+8 and point B lies between A and C.

We need to find the value of x.

              (Segment addition property)

Substitute the given values.

            (Substitution)

Combine like terms.

                (Simplification)

Subtract 8 from both sides.

          (Subtraction property of equality)

Divide both sides by 8.

          (Division property of equality)

Therefore, the value of x is 3.