What is the answer to 11-(22)/x =4+6/x ?

The answer to 11-(22)/x =4+6/x is x=4

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11-(22)/x =4+6/x

11 - \frac{22}{x} = 4 + \frac{6}{x}

x = 4

Solution steps

11 - \frac{22}{x} = 4 + \frac{6}{x}

Move

11

to the right side

- \frac{22}{x} = \frac{6}{x} - 7

Multiply both sides by

x

- 22 = 6 - 7 x

Switch sides

6 - 7 x = - 22

Move

6

to the right side

- 7 x = - 28

Divide both sides by

- 7

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{( x - 1 ) ( 2 x + 84 )}{x} - 84 = 0

x^{4} + \frac{1}{x ^{4}} = 47

\frac{2 x - 4}{x - 2} = \frac{1}{3}

x^{- 2} - 5 x^{- 1} - 6 = 0

\frac{4}{x} - \frac{9}{x + 1} = 2