Answer :

dsaketh
4/5x = 9/5 + x

divide both sides by 4/5

x = 9+5x/4

4x = 9 + 5x

-x = 9 
divide by -1 

x = -9 (C)


[tex] \frac{4}{5} [/tex] (x) - [tex] \frac{9}{5} [/tex] + (x) = ? 

First: [tex] \frac{9}{5} [/tex]
                          ↑
(Simplify, that fraction for Step ) 

Second: [tex] \frac{4}{5} [/tex] (x) -  [tex] \frac{9}{5} [/tex] = ? 

Third: x = whatever this equals →[tex] \frac{x(5)}{5} [/tex]

Fourth: [tex] \frac{5(x) + 9}{5} [/tex]

Fifth: [tex] \frac{4}{5} [/tex] (x) - [tex] \frac{5(x) + 9}{5} [/tex] = ? 

Sixth: [tex] \frac{4}{5} [/tex]
                           ↑
(We have to simplify the fraction for Step 6)

Seventh: [tex] \frac{4(x) 5(x) + 9}{5} [/tex]
               [tex] \frac{-x - 9}{5} [/tex] (5)

Eighth: -x  - 9  = ? 

Ninth:  -x = 9 
 For step number 9 we would have to add the number 9 from each of your sides. 
For step number 9 again we have to multiply from the equation with the number -1 and attach x = -9 with it 

Finally we get to your result!

x = -9 

So, from the looks of it, it looks like option C. -9 would be your answer to this question 


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