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x-0.2(x-3)=5 equation

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Numerical solution:

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The solution

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    x - 3    
x - ----- = 5
      5      
$$x - \frac{x - 3}{5} = 5$$
Detail solution
Given the linear equation:
x-(1/5)*(x-3) = 5

Expand brackets in the left part
x-1/5x-3 = 5

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

Move free summands (without x)
from left part to right part, we given:
$$\frac{4 x}{5} = \frac{22}{5}$$
Divide both parts of the equation by 4/5
x = 22/5 / (4/5)

We get the answer: x = 11/2
The graph
Rapid solution [src]
x1 = 11/2
$$x_{1} = \frac{11}{2}$$
x1 = 11/2
Sum and product of roots [src]
sum
11/2
$$\frac{11}{2}$$
=
11/2
$$\frac{11}{2}$$
product
11/2
$$\frac{11}{2}$$
=
11/2
$$\frac{11}{2}$$
11/2
Numerical answer [src]
x1 = 5.5
x1 = 5.5