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

The answer to -2/x =-5/(x-6) is x=-4

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

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

x = - 4

Solution steps

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

Cross multiply

- 2 x + 12 = - x \cdot 5

Move

12

to the right side

- 2 x = - x \cdot 5 - 12

Move

x 5

to the left side

3 x = - 12

Divide both sides by

3

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 6

Combine undefined points with solutions:

x = - 4

\frac{a}{b} = \frac{c}{d + x}

x^{- 2} - 2 x^{- 1} - 35 = 0

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

\frac{9}{x} = 11

\frac{6}{3 x - 1} = \frac{2 x - 7}{7}