Answer:
[tex]x=-\frac{15}{2}[/tex]
Step-by-step explanation:
4.5(8 - x) + 36 - 2.5(3x + 24) = 102
Use distributive law.
36 - 4.5x + 36 - 7.5x - 60 = 102
Combine like terms.
- 4.5x - 7.5x + 36 + 36 - 60 = 102
Simplify.
-12x + 12 = 102
Subtract 12 from both sides.
-12x = 90
[tex]x=-\frac{90}{12}[/tex]
[tex]x=-\frac{15}{2}[/tex]