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

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

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(x+3)/x = 2/5

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

x = - 5

Solution steps

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

Cross multiply

5 x + 15 = x \cdot 2

Move

15

to the right side

5 x = x \cdot 2 - 15

Move

x 2

to the left side

3 x = - 15

Divide both sides by

3

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5

\frac{x + 2}{x - 8} = \frac{3}{2}

\frac{8}{x + 3} = \frac{9}{x + 4}

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

\frac{x - 8}{x + 7} = \frac{5}{4}

a, x = - \frac{b}{2 a}