What is the answer to (2x-5)/x = 11/3 ?

The answer to (2x-5)/x = 11/3 is x=-3

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(2x-5)/x = 11/3

\frac{2 x - 5}{x} = \frac{11}{3}

x = - 3

Solution steps

\frac{2 x - 5}{x} = \frac{11}{3}

Cross multiply

6 x - 15 = x \cdot 11

Move

15

to the right side

6 x = x \cdot 11 + 15

Move

x 11

to the left side

- 5 x = 15

Divide both sides by

- 5

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3

- 1 - \frac{7}{x} = - 6 x

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

\frac{28}{x} = \frac{24}{x - 12}

\frac{8}{y} = \frac{2}{y - 2} + 1

\frac{6}{x + 5} = \frac{3}{x - 10}