What is the answer to 4/x-5= 5/(2x) ?

The answer to 4/x-5= 5/(2x) is x= 3/10

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4/x-5= 5/(2x)

\frac{4}{x} - 5 = \frac{5}{2 x}

x = \frac{3}{10}

Solution steps

\frac{4}{x} - 5 = \frac{5}{2 x}

Multiply by LCM

8 - 10 x = 5

Move

8

to the right side

- 10 x = - 3

Divide both sides by

- 10

x = \frac{3}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{10}

20 = \frac{40}{z}

\frac{x - 3}{x - 4} = 1

\frac{m}{x} - 18 = b

x - \frac{18}{x} = 3

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