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4,7x-1,3=5,2x-2,8 equation

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Numerical solution:

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The solution

You have entered [src]
47*x   13   26*x   14
---- - -- = ---- - --
 10    10    5     5 
$$\frac{47 x}{10} - \frac{13}{10} = \frac{26 x}{5} - \frac{14}{5}$$
Detail solution
Given the linear equation:
(47/10)*x-(13/10) = (26/5)*x-(14/5)

Expand brackets in the left part
47/10x-13/10 = (26/5)*x-(14/5)

Expand brackets in the right part
47/10x-13/10 = 26/5x-14/5

Move free summands (without x)
from left part to right part, we given:
$$\frac{47 x}{10} = \frac{26 x}{5} - \frac{3}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-1\right) x}{2} = - \frac{3}{2}$$
Divide both parts of the equation by -1/2
x = -3/2 / (-1/2)

We get the answer: x = 3
The graph
Sum and product of roots [src]
sum
3
$$3$$
=
3
$$3$$
product
3
$$3$$
=
3
$$3$$
3
Rapid solution [src]
x1 = 3
$$x_{1} = 3$$
x1 = 3
Numerical answer [src]
x1 = 3.0
x1 = 3.0