What is the answer to 1/x = 2/(5x)-6/5 ?

The answer to 1/x = 2/(5x)-6/5 is x=-1/2

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1/x = 2/(5x)-6/5

\frac{1}{x} = \frac{2}{5 x} - \frac{6}{5}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

\frac{1}{x} = \frac{2}{5 x} - \frac{6}{5}

Multiply by LCM

5 = 2 - 6 x

Switch sides

2 - 6 x = 5

Move

2

to the right side

- 6 x = 3

Divide both sides by

- 6

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{2}

x = \frac{25}{x}

\frac{a - x}{a + x}

a, \frac{4 d}{a} - 9 = g

\frac{3}{2 x} + 2 = \frac{2 x}{x + 1}

- \frac{8}{2 x + 6} + 2 = - \frac{4}{x + 3}

What is the answer to 1/x = 2/(5x)-6/5 ?
The answer to 1/x = 2/(5x)-6/5 is x=-1/2
Solve for x: 1/x = 2/(5x)-6/5
The solution is x=-1/2