Answer:
The value of x is 2.
Step-by-step explanation:
First, you have to make the left side into 1 fraction by making the denorminator the same :
![\frac{x}{x - 2} + \frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bx%20-%202%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B5%7D%20)
![= \frac{5x}{5(x - 2)} + \frac{x - 2}{5(x - 2)}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B5x%7D%7B5%28x%20-%202%29%7D%20%20%2B%20%20%5Cfrac%7Bx%20-%202%7D%7B5%28x%20-%202%29%7D%20)
![= \frac{5x + x - 2}{5(x - 2)}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B5x%20%2B%20x%20-%202%7D%7B5%28x%20-%202%29%7D%20)
![= \frac{6x - 2}{5(x - 2)}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B6x%20-%202%7D%7B5%28x%20-%202%29%7D%20)
Then you have to do cross multiplication :
![\frac{6x - 2}{5(x - 2)} = \frac{2}{x - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6x%20-%202%7D%7B5%28x%20-%202%29%7D%20%20%3D%20%20%5Cfrac%7B2%7D%7Bx%20-%202%7D%20)
![(6x - 2)(x - 2) = 5(2)(x - 2)](https://tex.z-dn.net/?f=%286x%20-%202%29%28x%20-%202%29%20%3D%205%282%29%28x%20-%202%29)
![6 {x}^{2} - 12x - 2x + 4 = 10x - 20](https://tex.z-dn.net/?f=6%20%7Bx%7D%5E%7B2%7D%20%20-%2012x%20-%202x%20%2B%204%20%3D%2010x%20-%2020)
![6 {x}^{2} - 14x + 4 = 10x - 20](https://tex.z-dn.net/?f=6%20%7Bx%7D%5E%7B2%7D%20%20-%2014x%20%2B%204%20%3D%2010x%20-%2020)
![6 {x}^{2} - 14x + 4 - 10x + 20 = 0](https://tex.z-dn.net/?f=6%20%7Bx%7D%5E%7B2%7D%20%20-%2014x%20%2B%204%20-%2010x%20%2B%2020%20%3D%200)
![6 {x}^{2} - 24x + 24 = 0](https://tex.z-dn.net/?f=6%20%7Bx%7D%5E%7B2%7D%20%20-%2024x%20%2B%2024%20%3D%200)
![6( {x}^{2} - 4x + 4) = 0](https://tex.z-dn.net/?f=6%28%20%7Bx%7D%5E%7B2%7D%20%20-%204x%20%2B%204%29%20%3D%200)
![{x}^{2} - 4x + 4 = 0](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20-%204x%20%2B%204%20%3D%200)
![{x}^{2} - 2x - 2x + 4 = 0](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20-%202x%20-%202x%20%2B%204%20%3D%200)
![x(x - 2) - 2(x - 2) = 0](https://tex.z-dn.net/?f=x%28x%20-%202%29%20-%202%28x%20-%202%29%20%3D%200)
![(x - 2)(x - 2) = 0](https://tex.z-dn.net/?f=%28x%20-%202%29%28x%20-%202%29%20%3D%200)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Answer:
x = -59/4
Step-by-step explanation:
3 x+ 2 = -x-57
Add x to each side
3 x+x+ 2 = -x+x-57
4x+2 = -57
Subtract 2 from each side
4x +2-2 = -57-2
4x = -59
Divide each side by 4
4x/4 = -59/4
x = -59/4
Answer:
900000000
Step-by-step explanation:
Answer:
i dont know im only getting points for this so i dont
fail and my mother hate me more for having to F's and to C's she wants all A's but pls dont get upset at me for not answering this pls it would be helpful