What is the answer to 5/8 = x/(x-9) ?

The answer to 5/8 = x/(x-9) is x=-15

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5/8 = x/(x-9)

\frac{5}{8} = \frac{x}{x - 9}

x = - 15

Solution steps

\frac{5}{8} = \frac{x}{x - 9}

Cross multiply

5 x - 45 = 8 x

Move

45

to the right side

5 x = 8 x + 45

Move

8 x

to the left side

- 3 x = 45

Divide both sides by

- 3

x = - 15

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = - 15

\frac{3}{2 m + 4} = \frac{1}{m + 2} - 2

0.52 = \frac{99}{( 99 + x )}

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

\frac{x ^{3} + 1}{3 + x} = 60

2 t + \frac{4}{1 - t} = 0