What is the value of x? Justify each step. (Proofs)

Question

What is the value of X? Justify each step.

AC=32

(there is an image of a line segment- AB=2x and BC=6x+8)

(please explain why you put each step with as much detail as you can provide)

AB+BC=AC. a.________

2x+6x+8=32. b.________

8x+8=32. c.________

8x=24. d.________

x=3. e. Division property.

Answer 1

a. Segment Addition Postulate

b. Substitution (substituted 2x for AB and 6x+8 for BC and 32 for AC)

c. Addition of like terms

d. Subtraction Property of Equality