What is the answer to (6x-2)/x =11 ?

The answer to (6x-2)/x =11 is x=-2/5

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(6x-2)/x =11

\frac{6 x - 2}{x} = 11

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

\frac{6 x - 2}{x} = 11

Multiply both sides by

x

6 x - 2 = 11 x

Move

2

to the right side

6 x = 11 x + 2

Move

11 x

to the left side

- 5 x = 2

Divide both sides by

- 5

x = - \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{5}

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

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

(\frac{x ^{2} + 1}{x ^{2}}) - 4 (\frac{x - 1}{x}) - 14 = 0

f (n) = \frac{w ^{n + 1}}{w ^{2 n}}

\frac{x ^{2} - 1}{2 x - 4} = 0