What is the answer to (x-5)/(x-8)= 1/x ?

The answer to (x-5)/(x-8)= 1/x is x=4,x=2

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(x-5)/(x-8)= 1/x

\frac{x - 5}{x - 8} = \frac{1}{x}

x = 4, x = 2

Solution steps

\frac{x - 5}{x - 8} = \frac{1}{x}

Cross multiply

(x - 5) x = x - 8

Solve

(x - 5) x = x - 8 : x = 4, x = 2

x = 4, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 8, x = 0

Combine undefined points with solutions:

x = 4, x = 2

\frac{0.3}{0.9} = \frac{0.2}{x}

a = \frac{1}{2 h ( b + b )}

\frac{x}{x - 2} + 8 = \frac{2}{x - 2}

4 = \frac{7}{3} - \frac{6}{b}

\frac{1}{3 x} + \frac{4}{81 x} = - 31

What is the answer to (x-5)/(x-8)= 1/x ?
The answer to (x-5)/(x-8)= 1/x is x=4,x=2
Solve for x: (x-5)/(x-8)= 1/x
The solution is x=4,x=2