What is the answer to 4+(1/x-2)=40 ?

The answer to 4+(1/x-2)=40 is x= 1/38

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4+(1/x-2)=40

4 + (\frac{1}{x} - 2) = 40

x = \frac{1}{38}

Decimal Notation

x = 0.02631 \dots

Solution steps

4 + (\frac{1}{x} - 2) = 40

Move

4

to the right side

\frac{1}{x} - 2 = 36

Multiply both sides by

x

1 - 2 x = 36 x

Move

1

to the right side

- 2 x = 36 x - 1

Move

36 x

to the left side

- 38 x = - 1

Divide both sides by

- 38

x = \frac{1}{38}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{38}

x^{- 2} - 9 x^{- 1} + 20 = 0

\frac{( 4.3 x + 89.904 )}{50 + x} = 3

\frac{x - 5}{x - 1} = \frac{- 3}{x}

\frac{3}{x ^{2}} = 0

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