What is (x-5)/(10-2x) ?

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

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simplify (x-5)/(10-2x)

simplify

\frac{x - 5}{10 - 2 x}

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

\frac{x - 5}{10 - 2 x}

Factor

10 - 2 x : 2 (5 - x)

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

2 (5 - x) = - 2 (x - 5)

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

Cancel the common factor:

x - 5

= \frac{1}{- 2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{1}{2}

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