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(-25-2*x-12)/25+(64-2x-1)/9=22 equation

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Numerical solution:

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The solution

You have entered [src]
-25 - 2*x - 12   64 - 2*x - 1     
-------------- + ------------ = 22
      25              9           
$$\frac{\left(64 - 2 x\right) - 1}{9} + \frac{\left(- 2 x - 25\right) - 12}{25} = 22$$
Detail solution
Given the linear equation:
(-25-2*x-12)/25+(64-2*x-1)/9 = 22

Expand brackets in the left part
-25/25-2*x/25-12/25+64/9-2*x/9-1/9 = 22

Looking for similar summands in the left part:
138/25 - 68*x/225 = 22

Move free summands (without x)
from left part to right part, we given:
$$- \frac{68 x}{225} = \frac{412}{25}$$
Divide both parts of the equation by -68/225
x = 412/25 / (-68/225)

We get the answer: x = -927/17
The graph
Sum and product of roots [src]
sum
-927 
-----
  17 
$$- \frac{927}{17}$$
=
-927 
-----
  17 
$$- \frac{927}{17}$$
product
-927 
-----
  17 
$$- \frac{927}{17}$$
=
-927 
-----
  17 
$$- \frac{927}{17}$$
-927/17
Rapid solution [src]
     -927 
x1 = -----
       17 
$$x_{1} = - \frac{927}{17}$$
x1 = -927/17
Numerical answer [src]
x1 = -54.5294117647059
x1 = -54.5294117647059