What is the answer to 5/(x+2)= 3/x ?

The answer to 5/(x+2)= 3/x is x=3

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5/(x+2)= 3/x

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

x = 3

Solution steps

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

Cross multiply

5 x = 3 x + 6

Move

3 x

to the left side

2 x = 6

Divide both sides by

2

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = 3

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

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

\frac{2 x + 3}{2 x - 1} = \frac{x - 5}{x + 3}

\frac{60}{t - 5} - \frac{18}{t} = \frac{40}{t}

- \frac{3}{5} = \frac{3}{3 - j}