To solve this problem you must apply the proccedure shown below:
1. Apply the Distributive property:
[tex]\frac{9}{2}(8-x)+36=102-\frac{5}{2}(3x+24)\\\frac{72}{2}-\frac{9}{2}x+36=102-\frac{15}{2}x-\frac{120}{2}[/tex]
2. Now, you must simplify:
[tex]36-\frac{9}{2}x+36=102-\frac{15}{2}x-60[/tex]
3. Add the like terms:
[tex]-\frac{9}{2}x+\frac{15}{2}x=102-60-36-36\\\frac{6}{2}x=-30[/tex]
4. Simplify:
[tex]3x=-30[/tex]
5. Solve for x. Divide -30 by 3:
[tex]x=\frac{-30}{3}\\x=-10[/tex]
The answer is: [tex]x=-10[/tex]
