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(x/7)-((3x-1)/14)=2 equation

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Numerical solution:

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The solution

You have entered [src]
x   3*x - 1    
- - ------- = 2
7      14      
$$\frac{x}{7} - \frac{3 x - 1}{14} = 2$$
Detail solution
Given the linear equation:
(x/7)-((3*x-1)/14) = 2

Expand brackets in the left part
x/7-3*x/14+1/14) = 2

Looking for similar summands in the left part:
1/14 - x/14 = 2

Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{14} = \frac{27}{14}$$
Divide both parts of the equation by -1/14
x = 27/14 / (-1/14)

We get the answer: x = -27
The graph
Rapid solution [src]
x1 = -27
$$x_{1} = -27$$
x1 = -27
Sum and product of roots [src]
sum
-27
$$-27$$
=
-27
$$-27$$
product
-27
$$-27$$
=
-27
$$-27$$
-27
Numerical answer [src]
x1 = -27.0
x1 = -27.0