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

\frac{7}{x - 3} = 0

\frac{x - 1}{x} = 0

\frac{4}{x} = \frac{x}{36}

\frac{( 2 x + 5 )}{( x + 4 )} = 1

\frac{8}{5} = \frac{64}{y}