What is the answer to 3= 1/(x-2) ?

The answer to 3= 1/(x-2) is x= 7/3

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3= 1/(x-2)

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

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

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

Multiply both sides by

x - 2

3 (x - 2) = 1

Divide both sides by

3

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

Move

2

to the right side

x = \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{7}{3}

\frac{2000}{x} = 37.5

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

x (\frac{5 x - 3 - 2}{x}) = 0

\frac{8}{5} = \frac{2}{x}

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