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(x-4)/(x-6)=2

(x-4)/(x-6)=2 equation

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Numerical solution:

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The solution

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x - 4    
----- = 2
x - 6    
$$\frac{x - 4}{x - 6} = 2$$
Detail solution
Given the equation:
$$\frac{x - 4}{x - 6} = 2$$
Multiply the equation sides by the denominator -6 + x
we get:
$$x - 4 = 2 x - 12$$
Move free summands (without x)
from left part to right part, we given:
$$x = 2 x - 8$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = -8$$
Divide both parts of the equation by -1
x = -8 / (-1)

We get the answer: x = 8
The graph
Rapid solution [src]
x1 = 8
$$x_{1} = 8$$
x1 = 8
Sum and product of roots [src]
sum
8
$$8$$
=
8
$$8$$
product
8
$$8$$
=
8
$$8$$
8
Numerical answer [src]
x1 = 8.0
x1 = 8.0
The graph
(x-4)/(x-6)=2 equation