Question

Solve for x step by step.

9/2(8-x)+36=102-5/2(3x+24)

Answer 1

To solve this problem you must apply the proccedure shown below:

1. Apply the Distributive property:

`(9)/(2)(8-x)+36=102-(5)/(2)(3x+24)\\(72)/(2)-(9)/(2)x+36=102-(15)/(2)x-(120)/(2)`

2. Now, you must simplify:

`36-(9)/(2)x+36=102-(15)/(2)x-60`

3. Add the like terms:

`-(9)/(2)x+(15)/(2)x=102-60-36-36\\(6)/(2)x=-30`

4. Simplify:

`3x=-30`

5. Solve for x. Divide -30 by 3:

`x=(-30)/(3)\\x=-10`

The answer is:
`x=-10`