What is the answer to -1/5+5/(6x)=-1/(4x) ?

The answer to -1/5+5/(6x)=-1/(4x) is x= 65/12

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-1/5+5/(6x)=-1/(4x)

- \frac{1}{5} + \frac{5}{6 x} = - \frac{1}{4 x}

x = \frac{65}{12}

Decimal

x = 5.41666 \dots

Solution steps

- \frac{1}{5} + \frac{5}{6 x} = - \frac{1}{4 x}

Multiply by LCM

- 12 x + 50 = - 15

Move

50

to the right side

- 12 x = - 65

Divide both sides by

- 12

x = \frac{65}{12}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{65}{12}

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

1 + \frac{7}{x - 4} = \frac{2}{x ^{2} - 16}

4 x - \frac{4}{x ^{2}} = 0

\frac{6}{x ^{2}} - \frac{40}{x} = 14

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

What is the answer to -1/5+5/(6x)=-1/(4x) ?
The answer to -1/5+5/(6x)=-1/(4x) is x= 65/12
Solve for x: -1/5+5/(6x)=-1/(4x)
The solution is x= 65/12