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(x+7)/(x-5)=4 equation

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Numerical solution:

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The solution

You have entered [src]
x + 7    
----- = 4
x - 5    
$$\frac{x + 7}{x - 5} = 4$$
Detail solution
Given the equation:
$$\frac{x + 7}{x - 5} = 4$$
Multiply the equation sides by the denominator -5 + x
we get:
$$x + 7 = 4 x - 20$$
Move free summands (without x)
from left part to right part, we given:
$$x = 4 x - 27$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = -27$$
Divide both parts of the equation by -3
x = -27 / (-3)

We get the answer: x = 9
The graph
Sum and product of roots [src]
sum
9
$$9$$
=
9
$$9$$
product
9
$$9$$
=
9
$$9$$
9
Rapid solution [src]
x1 = 9
$$x_{1} = 9$$
x1 = 9
Numerical answer [src]
x1 = 9.0
x1 = 9.0