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(x-2)(6x+1)/6-(3x-1)(x+1)/3=-5 equation

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Numerical solution:

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The solution

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(x - 2)*(6*x + 1)   (3*x - 1)*(x + 1)     
----------------- - ----------------- = -5
        6                   3             
$$\frac{\left(x - 2\right) \left(6 x + 1\right)}{6} - \frac{\left(x + 1\right) \left(3 x - 1\right)}{3} = -5$$
Detail solution
Given the equation:
(x-2)*(6*x+1)/6-(3*x-1)*(x+1)/3 = -5

Expand expressions:
- 1/3 + x^2 - 11*x/6 - (3*x - 1)*(x + 1)/3 = -5

- 1/3 + x^2 - 11*x/6 + 1/3 - x^2 - 2*x/3 = -5

Reducing, you get:
5 - 5*x/2 = 0

Move free summands (without x)
from left part to right part, we given:
$$- \frac{5 x}{2} = -5$$
Divide both parts of the equation by -5/2
x = -5 / (-5/2)

We get the answer: x = 2
The graph
Rapid solution [src]
x1 = 2
$$x_{1} = 2$$
x1 = 2
Sum and product of roots [src]
sum
2
$$2$$
=
2
$$2$$
product
2
$$2$$
=
2
$$2$$
2
Numerical answer [src]
x1 = 2.0
x1 = 2.0