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

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

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(2x)/(x+3)= 3/x

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

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

Solution steps

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

Cross multiply

2 x^{2} = (x + 3) \cdot 3

Solve

2 x^{2} = (x + 3) \cdot 3 : x = 3, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Combine undefined points with solutions:

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

\frac{9}{x} = \frac{6}{8}

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

\frac{4}{y + 4} = \frac{y}{3}

\frac{x - 3}{x ^{2} - 9} = 1

\frac{3}{x} = 9

What is the answer to (2x)/(x+3)= 3/x ?
The answer to (2x)/(x+3)= 3/x is x=3,x=-3/2
Solve for x: (2x)/(x+3)= 3/x
The solution is x=3,x=-3/2