What is the answer to 3/(x-2)= 2/x ?

The answer to 3/(x-2)= 2/x is x=-4

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3/(x-2)= 2/x

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

x = - 4

Solution steps

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

Cross multiply

3 x = 2 x - 4

Move

2 x

to the left side

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = - 4

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

\frac{x + 8}{x + 9} = \frac{4}{5}

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

60.915 = \frac{8241.87}{5884.4 x}

\frac{1}{x - 2} + 3 = 0