What is the answer to 6/9 = 2/(x-5) ?

The answer to 6/9 = 2/(x-5) is x=8

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6/9 = 2/(x-5)

\frac{6}{9} = \frac{2}{x - 5}

x = 8

Solution steps

\frac{6}{9} = \frac{2}{x - 5}

Cross multiply

6 (x - 5) = 18

Divide both sides by

6

x - 5 = 3

Move

5

to the right side

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 8

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

\frac{12}{x} = \frac{22}{x - 5}

a, x = \frac{a - b}{a + b}

\frac{3}{2 b - 1} = \frac{2}{b + 2}

\frac{4}{x ^{2}} + \frac{5}{x} = - 1