Solve for x: two sevenths(x − 2) = 4x x = two thirteenths x = negative two thirteenths x = negative thirteen halves x = thirteen
halves
2 answers:
For this case we must solve the following equation:
![\frac {2} {7} (x-2) = 4x](https://tex.z-dn.net/?f=%5Cfrac%20%7B2%7D%20%7B7%7D%20%28x-2%29%20%3D%204x)
So:
We apply distributive property to the terms within parentheses:
![\frac {2} {7} x- \frac {4} {7} = 4x](https://tex.z-dn.net/?f=%5Cfrac%20%7B2%7D%20%7B7%7D%20x-%20%5Cfrac%20%7B4%7D%20%7B7%7D%20%3D%204x)
Add
on both sides of the equation we have:
![\frac {2} {7} x = 4x + \frac {4} {7}](https://tex.z-dn.net/?f=%5Cfrac%20%7B2%7D%20%7B7%7D%20x%20%3D%204x%20%2B%20%5Cfrac%20%7B4%7D%20%7B7%7D)
Subtracting 4x from both sides of the equation we have:
![\frac {2} {7} x-4x = \frac {4} {7}\\\frac {2-28} {7} x = \frac {4} {7}\\\frac {-26} {7} x = \frac {4} {7}\\- \frac {26} {7} x = \frac {4} {7}](https://tex.z-dn.net/?f=%5Cfrac%20%7B2%7D%20%7B7%7D%20x-4x%20%3D%20%5Cfrac%20%7B4%7D%20%7B7%7D%5C%5C%5Cfrac%20%7B2-28%7D%20%7B7%7D%20x%20%3D%20%5Cfrac%20%7B4%7D%20%7B7%7D%5C%5C%5Cfrac%20%7B-26%7D%20%7B7%7D%20x%20%3D%20%5Cfrac%20%7B4%7D%20%7B7%7D%5C%5C-%20%5Cfrac%20%7B26%7D%20%7B7%7D%20x%20%3D%20%5Cfrac%20%7B4%7D%20%7B7%7D)
We multiply by 7 on both sides of the equation:
![-26x = 4](https://tex.z-dn.net/?f=-26x%20%3D%204)
We divide by -26 on both sides of the equation:
![x = \frac {4} {- 26}\\x = - \frac {2} {13}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B4%7D%20%7B-%2026%7D%5C%5Cx%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B13%7D)
ANswer:
![x = - \frac {2} {13}](https://tex.z-dn.net/?f=x%20%3D%20-%20%5Cfrac%20%7B2%7D%20%7B13%7D)
Answer:
Step-by-step explanation:
1st- We apply distributive property to the terms within parentheses:
2/7x-4/7=4x
2nd- Add on both sides of the equation we have:
2/7x=4x+4/7
3rd- Subtracting 4x from both sides of the equation we have:
2-28/7x=4/7
4th- We multiply by 7 on both sides of the equation:
7*-26/7x=4/7*7
5th- We divide by -26 on both sides of the equation:
-26/-26x=4/-26
6th- Answer:
x=-2/13
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