Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. the diagram shows segment AC with point B on this segment, then
[tex]AB+BC=AC[/tex] Segment addition postulate
2. Given [tex]AB=2x,\ BC=6x+8,\ AC=32,[/tex] then
[tex]2x+6x+8=32[/tex] Substitution property
3. Simplify the equation as follows
[tex]8x+8=32[/tex] Combine like terms
4. Subtract 8 from both sides
[tex]8x+8-8=32-8\\ \\8x=24[/tex] Subtraction property of equality
5. Divide by 8:
[tex]x=3[/tex] Division property of equality
