What is the answer to 5/x = 5/(6x)-3 ?

The answer to 5/x = 5/(6x)-3 is x=-25/18

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5/x = 5/(6x)-3

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

x = - \frac{25}{18}

Decimal Notation

x = - 1.38888 \dots

Solution steps

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

Multiply by LCM

30 = 5 - 18 x

Switch sides

5 - 18 x = 30

Move

5

to the right side

- 18 x = 25

Divide both sides by

- 18

x = - \frac{25}{18}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{25}{18}

a + \frac{10}{a} = 7

\frac{5}{2} = \frac{4 x + 21}{x - 3}

\frac{x + 1}{x - 2} = 4

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

\frac{6 x}{x + 1} = 9 - \frac{6}{x + 1}