What is the answer to 2/x-4/5 = 3/x ?

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

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2/x-4/5 = 3/x

\frac{2}{x} - \frac{4}{5} = \frac{3}{x}

x = - \frac{5}{4}

Decimal Notation

x = - 1.25

Solution steps

\frac{2}{x} - \frac{4}{5} = \frac{3}{x}

Multiply by LCM

10 - 4 x = 15

Move

10

to the right side

- 4 x = 5

Divide both sides by

- 4

x = - \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{4}

\frac{1}{x - 1} - \frac{2}{x ^{2}} = 0

\frac{9 x}{2 x ^{2}} = 2

\frac{7}{x - 5} = 2

\frac{3 x + 7}{x - 1} = - 1

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