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(x-2)/(x-7)=5/8

(x-2)/(x-7)=5/8 equation

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Numerical solution:

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The solution

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x - 2      
----- = 5/8
x - 7
x−2x−7=58\frac{x - 2}{x - 7} = \frac{5}{8}
Simplify
Detail solution
Given the equation:
x−2x−7=58\frac{x - 2}{x - 7} = \frac{5}{8}
Multiply the equation sides by the denominator -7 + x
we get:
x−2=5x8−358x - 2 = \frac{5 x}{8} - \frac{35}{8}
Move free summands (without x)
from left part to right part, we given:
x=5x8−198x = \frac{5 x}{8} - \frac{19}{8}
Move the summands with the unknown x
from the right part to the left part:
3x8=−198\frac{3 x}{8} = - \frac{19}{8}
Divide both parts of the equation by 3/8
x = -19/8 / (3/8)

We get the answer: x = -19/3
The graph
-22.5-20.0-17.5-15.0-12.5-10.0-7.5-5.0-2.50.02.55.01-1
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -19/3
x1=−193x_{1} = - \frac{19}{3} 
x1 = -19/3
Sum and product of roots [src] 
sum
-19/3
−193- \frac{19}{3} 
=
-19/3
−193- \frac{19}{3} 
product
-19/3
−193- \frac{19}{3} 
=
-19/3
−193- \frac{19}{3} 
-19/3
Numerical answer [src] 
x1 = -6.33333333333333
x1 = -6.33333333333333
The graph
(x-2)/(x-7)=5/8 equation
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