What is the answer to 1/(2x+13)=9 ?

The answer to 1/(2x+13)=9 is x=-58/9

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1/(2x+13)=9

\frac{1}{2 x + 13} = 9

x = - \frac{58}{9}

Decimal Notation

x = - 6.44444 \dots

Solution steps

\frac{1}{2 x + 13} = 9

Multiply both sides by

2 x + 13

1 = 9 (2 x + 13)

Switch sides

9 (2 x + 13) = 1

Divide both sides by

9

2 x + 13 = \frac{1}{9}

Move

13

to the right side

2 x = - \frac{116}{9}

Divide both sides by

2

x = - \frac{58}{9}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{13}{2}

Combine undefined points with solutions:

x = - \frac{58}{9}

\frac{6}{6 b + 4} = \frac{2}{b - 4}

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

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

\frac{4}{x} = 12

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