What is the answer to 1-8/(x-5)= 3/x ?

The answer to 1-8/(x-5)= 3/x is x=15,x=1

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1-8/(x-5)= 3/x

1 - \frac{8}{x - 5} = \frac{3}{x}

x = 15, x = 1

Solution steps

1 - \frac{8}{x - 5} = \frac{3}{x}

Multiply by LCM

x (x - 5) - 8 x = 3 (x - 5)

Solve

x (x - 5) - 8 x = 3 (x - 5) : x = 15, x = 1

x = 15, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 0

Combine undefined points with solutions:

x = 15, x = 1

x^{2} - \frac{3}{x} = 7

4 + \frac{6}{x} = 22

5 = \frac{30}{5 ( x - 2 )}

\frac{x - 2}{x + 2} = \frac{x - 4}{x + 4}

\frac{4}{2} = \frac{6}{X}