What is the answer to x/(x-2)= 4/5 ?

The answer to x/(x-2)= 4/5 is x=-8

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x/(x-2)= 4/5

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

x = - 8

Solution steps

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

Cross multiply

x \cdot 5 = 4 x - 8

Move

4 x

to the left side

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 8

x = 2 + \frac{1}{x}

\frac{5 + x}{5 - x} = \frac{7}{3}

\frac{5 x + 2}{x + 2} = 3

\frac{2 x + 3}{3 x - 4} = \frac{7}{10}

\frac{c ^{2} + 2 c}{( c + 1 ) ^{2}} = - 3