What is the answer to 1-3/x = 4/5 ?

The answer to 1-3/x = 4/5 is x=15

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1-3/x = 4/5

1 - \frac{3}{x} = \frac{4}{5}

x = 15

Solution steps

1 - \frac{3}{x} = \frac{4}{5}

Multiply by LCM

5 x - 15 = 4 x

Move

15

to the right side

5 x = 4 x + 15

Move

4 x

to the left side

x = 15

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 15

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

1 + \frac{1}{x} = 10

\frac{3}{x} + \frac{2}{3} = 2

\frac{24}{x} = - \frac{8}{3}

\frac{x ^{2} - 2}{x + 4} = 7