What is the answer to 1/(x-2)= 5/6 ?

The answer to 1/(x-2)= 5/6 is x= 16/5

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1/(x-2)= 5/6

\frac{1}{x - 2} = \frac{5}{6}

x = \frac{16}{5}

Decimal Notation

x = 3.2

Solution steps

\frac{1}{x - 2} = \frac{5}{6}

Cross multiply

6 = (x - 2) \cdot 5

Switch sides

(x - 2) \cdot 5 = 6

Divide both sides by

5

x - 2 = \frac{6}{5}

Move

2

to the right side

x = \frac{16}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{16}{5}

\frac{4 x - 3}{2 x + 5} = 1

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

\frac{13}{q} = \frac{5}{4}

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

\frac{1}{x + 1} + 4 = \frac{13}{x + 1}