What is the answer to 10=(1000+x)/x ?

The answer to 10=(1000+x)/x is x= 1000/9

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10=(1000+x)/x

10 = \frac{1000 + x}{x}

x = \frac{1000}{9}

Decimal Notation

x = 111.11111 \dots

Solution steps

10 = \frac{1000 + x}{x}

Multiply both sides by

x

10 x = 1000 + x

Move

x

to the left side

9 x = 1000

Divide both sides by

9

x = \frac{1000}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1000}{9}

\frac{x + a}{x} = \frac{b + ba}{b}

y, x = \frac{1 + y}{1 - y}

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

\frac{6}{x ^{4}} = 0

\frac{8}{x ^{2}} = \frac{32}{36}