What is the answer to 5=10(1/x-1/2) ?

The answer to 5=10(1/x-1/2) is x=1

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5=10(1/x-1/2)

5 = 10 (\frac{1}{x} - \frac{1}{2})

x = 1

Solution steps

5 = 10 (\frac{1}{x} - \frac{1}{2})

Expand

10 (\frac{1}{x} - \frac{1}{2}) : \frac{10}{x} - 5

5 = \frac{10}{x} - 5

Move

5

to the left side

10 = \frac{10}{x}

Multiply both sides by

x

10 x = 10

Divide both sides by

10

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

\frac{x - 1}{6 x} = \frac{x + 4}{5 x}

\frac{20}{x} = \frac{13}{11.25}

\frac{40}{x} = \frac{2}{6}

\frac{1}{x} = \frac{x}{49}

\frac{5}{∣ r - 9 ∣} = 15