What is the answer to 5/x = 6/(x-10) ?

The answer to 5/x = 6/(x-10) is x=-50

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5/x = 6/(x-10)

\frac{5}{x} = \frac{6}{x - 10}

x = - 50

Solution steps

\frac{5}{x} = \frac{6}{x - 10}

Cross multiply

5 x - 50 = x \cdot 6

Move

50

to the right side

5 x = x \cdot 6 + 50

Move

x 6

to the left side

- x = 50

Divide both sides by

- 1

x = - 50

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 10

Combine undefined points with solutions:

x = - 50

11 - \frac{22}{x} = 4 + \frac{6}{x}

\frac{( x - 1 ) ( 2 x + 84 )}{x} - 84 = 0

x^{4} + \frac{1}{x ^{4}} = 47

\frac{2 x - 4}{x - 2} = \frac{1}{3}

x^{- 2} - 5 x^{- 1} - 6 = 0