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x/5.6=(6.4-x)/7.2 equation

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Numerical solution:

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The solution

You have entered [src]
 x     32/5 - x
---- = --------
28/5     36/5  
$$\frac{x}{\frac{28}{5}} = \frac{\frac{32}{5} - x}{\frac{36}{5}}$$
Detail solution
Given the linear equation:
x/(28/5) = ((32/5)-x)/(36/5)

Expand brackets in the left part
x/28/5 = ((32/5)-x)/(36/5)

Expand brackets in the right part
x/28/5 = 32/5-x)/36/5

Move the summands with the unknown x
from the right part to the left part:
$$\frac{20 x}{63} = \frac{8}{9}$$
Divide both parts of the equation by 20/63
x = 8/9 / (20/63)

We get the answer: x = 14/5
The graph
Sum and product of roots [src]
sum
14/5
$$\frac{14}{5}$$
=
14/5
$$\frac{14}{5}$$
product
14/5
$$\frac{14}{5}$$
=
14/5
$$\frac{14}{5}$$
14/5
Rapid solution [src]
x1 = 14/5
$$x_{1} = \frac{14}{5}$$
x1 = 14/5
Numerical answer [src]
x1 = 2.8
x1 = 2.8