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0,2(x-4)=20-0,2x equation

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Numerical solution:

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The solution

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x - 4        x
----- = 20 - -
  5          5
$$\frac{x - 4}{5} = 20 - \frac{x}{5}$$
Detail solution
Given the linear equation:
(1/5)*(x-4) = 20-(1/5)*x

Expand brackets in the left part
1/5x-4 = 20-(1/5)*x

Expand brackets in the right part
1/5x-4 = 20-1/5x

Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{5} = \frac{104}{5} - \frac{x}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{2 x}{5} = \frac{104}{5}$$
Divide both parts of the equation by 2/5
x = 104/5 / (2/5)

We get the answer: x = 52
The graph
Rapid solution [src]
x1 = 52
$$x_{1} = 52$$
x1 = 52
Sum and product of roots [src]
sum
52
$$52$$
=
52
$$52$$
product
52
$$52$$
=
52
$$52$$
52
Numerical answer [src]
x1 = 52.0
x1 = 52.0