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

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

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(x+2)/x = 3/5

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

x = - 5

Solution steps

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

Cross multiply

5 x + 10 = x \cdot 3

Move

10

to the right side

5 x = x \cdot 3 - 10

Move

x 3

to the left side

2 x = - 10

Divide both sides by

2

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5

4 + \frac{6}{x} = \frac{5}{2}

\frac{5}{x} + 3 = \frac{4}{x - 1}

\frac{1}{x} + \frac{3}{x} = 4

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

\frac{( - 2 x ^{2} + 5 x - 1 )}{2 x - 1} = 0