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x-4/5-x/3=7 equation

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Numerical solution:

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The solution

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          x    
x - 4/5 - - = 7
          3    
$$- \frac{x}{3} + \left(x - \frac{4}{5}\right) = 7$$
Detail solution
Given the linear equation:
x-4/5-x/3 = 7

Looking for similar summands in the left part:
-4/5 + 2*x/3 = 7

Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{3} = \frac{39}{5}$$
Divide both parts of the equation by 2/3
x = 39/5 / (2/3)

We get the answer: x = 117/10
The graph
Rapid solution [src]
     117
x1 = ---
      10
$$x_{1} = \frac{117}{10}$$
x1 = 117/10
Sum and product of roots [src]
sum
117
---
 10
$$\frac{117}{10}$$
=
117
---
 10
$$\frac{117}{10}$$
product
117
---
 10
$$\frac{117}{10}$$
=
117
---
 10
$$\frac{117}{10}$$
117/10
Numerical answer [src]
x1 = 11.7
x1 = 11.7