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x-3x-2/53-2x-5/3 equation

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Numerical solution:

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The solution

You have entered [src]
x - 3*x - 2/53 - 2*x - 5/3 = 0
$$\left(- 2 x + \left(\left(- 3 x + x\right) - \frac{2}{53}\right)\right) - \frac{5}{3} = 0$$
Detail solution
Given the linear equation:
x-3*x-2/53-2*x-5/3 = 0

Looking for similar summands in the left part:
-271/159 - 4*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 4 x = \frac{271}{159}$$
Divide both parts of the equation by -4
x = 271/159 / (-4)

We get the answer: x = -271/636
The graph
Rapid solution [src]
     -271 
x1 = -----
      636 
$$x_{1} = - \frac{271}{636}$$
x1 = -271/636
Sum and product of roots [src]
sum
-271 
-----
 636 
$$- \frac{271}{636}$$
=
-271 
-----
 636 
$$- \frac{271}{636}$$
product
-271 
-----
 636 
$$- \frac{271}{636}$$
=
-271 
-----
 636 
$$- \frac{271}{636}$$
-271/636
Numerical answer [src]
x1 = -0.426100628930818
x1 = -0.426100628930818