Answer:
x=-10
Step-by-step explanation:
4.5(8-x)+36=102-2.5(3x+24) first you multiply 10 to both sides
4.5(8-x)x10+36x10=102x10-2.5(3x+24)x10
Then you have to refine the equation
45(8-x)+360=1020-25(3x+24)
Then you expand it
45(8-x)+360
=360-45x+360
Simplify
360-45x+360 -45x+720
Expand it one more time
-45x+720=-75x+420
Subtract 720 from each side
-45x+720-720=-75x+420-720
Simplify
-45x=-75x-300
Add 75x to both sides
-45x+75x=-75x-300+75x
Simplify
Divide both sides by 30
30x/30=-300/30
Then you get -10