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:

$\frac{9}{2}(8-x)+36=102-\frac{5}{2}(3x+24)\\\frac{72}{2}-\frac{9}{2}x+36=102-\frac{15}{2}x-\frac{120}{2}$

2. Now, you must simplify:

$36-\frac{9}{2}x+36=102-\frac{15}{2}x-60$

3. Add the like terms:

$-\frac{9}{2}x+\frac{15}{2}x=102-60-36-36\\\frac{6}{2}x=-30$

4. Simplify:

$3x=-30$

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

$x=\frac{-30}{3}\\x=-10$

The answer is: $x=-10$