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

The answer to 1/x+5= 1/(2x) is x=-1/10

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1/x+5= 1/(2x)

\frac{1}{x} + 5 = \frac{1}{2 x}

x = - \frac{1}{10}

Decimal Notation

x = - 0.1

Solution steps

\frac{1}{x} + 5 = \frac{1}{2 x}

Multiply by LCM

2 + 10 x = 1

Move

2

to the right side

10 x = - 1

Divide both sides by

10

x = - \frac{1}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{10}

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

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

x, y = \frac{4 x - 1}{2 x + 3}

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

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