What is the answer to 5/x+13= 1/x+3 ?

The answer to 5/x+13= 1/x+3 is x=-2/5

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5/x+13= 1/x+3

\frac{5}{x} + 13 = \frac{1}{x} + 3

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

\frac{5}{x} + 13 = \frac{1}{x} + 3

Move

13

to the right side

\frac{5}{x} = \frac{1}{x} - 10

Multiply both sides by

x

5 = 1 - 10 x

Switch sides

1 - 10 x = 5

Move

1

to the right side

- 10 x = 4

Divide both sides by

- 10

x = - \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{5}

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

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

5 = \frac{7}{x}

x, y = \frac{x}{1 + x}

5 = \frac{2}{5} - \frac{8}{x}