Solve the equation for x. show each step of the solution. name the justification for each step of the solution 9/2 (8-x) +36=102-5/2(3x+24)

Question

asked Apr 11, 2019 166k views

1 Answer

Adam Neal · Answer 1 · 2019-04-16T12:37:33+0000

1. You have the following equation:

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

2. First, you must apply the Distributive property:

(72)/(2)-(9x)/(2)+36=102-(15x)/(2)-(120)/(2)

3. Simplify:

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

3. Add the like terms:

$-(9x)/(2)+(15x)/(2)=102-60-36-36\\ 3x=-30$

4. Solve for
:

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

Therefore, the answer is: