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(4x-1)/(9)-(x+2)/(6)=2 equation

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Numerical solution:

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The solution

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4*x - 1   x + 2    
------- - ----- = 2
   9        6      
$$- \frac{x + 2}{6} + \frac{4 x - 1}{9} = 2$$
Detail solution
Given the linear equation:
(4*x-1)/(9)-(x+2)/(6) = 2

Expand brackets in the left part
4*x-19-x-26 = 2

Looking for similar summands in the left part:
-4/9 + 5*x/18 = 2

Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{18} = \frac{22}{9}$$
Divide both parts of the equation by 5/18
x = 22/9 / (5/18)

We get the answer: x = 44/5
The graph
Sum and product of roots [src]
sum
44/5
$$\frac{44}{5}$$
=
44/5
$$\frac{44}{5}$$
product
44/5
$$\frac{44}{5}$$
=
44/5
$$\frac{44}{5}$$
44/5
Rapid solution [src]
x1 = 44/5
$$x_{1} = \frac{44}{5}$$
x1 = 44/5
Numerical answer [src]
x1 = 8.8
x1 = 8.8