What is the answer to (2000)/x =37.5 ?

The answer to (2000)/x =37.5 is x= 160/3

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(2000)/x =37.5

\frac{2000}{x} = 37.5

x = \frac{160}{3}

Decimal Notation

x = 53.33333 \dots

Solution steps

\frac{2000}{x} = 37.5

Multiply both sides by

x

2000 = 37.5 x

Switch sides

37.5 x = 2000

Multiply both sides by

10

375 x = 20000

Divide both sides by

375

x = \frac{160}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{160}{3}

\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

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