What is the answer to 7-(13)/x =4+2/x ?

The answer to 7-(13)/x =4+2/x is x=5

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7-(13)/x =4+2/x

7 - \frac{13}{x} = 4 + \frac{2}{x}

x = 5

Solution steps

7 - \frac{13}{x} = 4 + \frac{2}{x}

Move

7

to the right side

- \frac{13}{x} = \frac{2}{x} - 3

Multiply both sides by

x

- 13 = 2 - 3 x

Switch sides

2 - 3 x = - 13

Move

2

to the right 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{3 x}{x - 3} = \frac{9}{x - 3} + 6

2 \frac{2}{9} = \frac{- 4}{5 m}

\frac{2}{x + 4} - 5 = \frac{27}{x + 4}

\frac{1}{2 x + 5} = \frac{x}{11 x + 8}

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