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MrRissso [65]
3 years ago
13

Solve for x step by step. 9/2(8-x)+36=102-5/2(3x+24)

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

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

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