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

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

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

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

x = - \frac{1}{5}

Decimal Notation

x = - 0.2

Solution steps

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

Multiply by LCM

5 = 6 + 5 x

Switch sides

6 + 5 x = 5

Move

6

to the right side

5 x = - 1

Divide both sides by

5

x = - \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{5}

\frac{x + 4}{x + 5} = \frac{5}{2}

2 (x - 5)^{- 1} + \frac{1}{x} = 0

\frac{3}{m - 1} = \frac{6}{3 m + 8}

\frac{2 x}{x + 9} = \frac{2 x - 9}{x}

y, x = \frac{y}{y + 1}