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(x-8)+(x-19)-71x=6

(x-8)+(x-19)-71x=6 equation

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Numerical solution:

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The solution

You have entered [src]
x - 8 + x - 19 - 71*x = 6
71x+x+x198=6- 71 x + x + x - 19 - 8 = 6
Detail solution
Given the linear equation:
(x-8)+(x-19)-71*x = 6

Expand brackets in the left part
x-8+x-19-71*x = 6

Looking for similar summands in the left part:
-27 - 69*x = 6

Move free summands (without x)
from left part to right part, we given:
69x=33- 69 x = 33
Divide both parts of the equation by -69
x = 33 / (-69)

We get the answer: x = -11/23
The graph
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-200200
Rapid solution [src]
      -11 
x_1 = ----
       23 
x1=1123x_{1} = - \frac{11}{23}
Sum and product of roots [src]
sum
-11 
----
 23 
(1123)\left(- \frac{11}{23}\right)
=
-11 
----
 23 
1123- \frac{11}{23}
product
-11 
----
 23 
(1123)\left(- \frac{11}{23}\right)
=
-11 
----
 23 
1123- \frac{11}{23}
Numerical answer [src]
x1 = -0.478260869565217
x1 = -0.478260869565217
The graph
(x-8)+(x-19)-71x=6 equation