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

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

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2/(5-x)= 1/5

\frac{2}{5 - x} = \frac{1}{5}

x = - 5

Solution steps

\frac{2}{5 - x} = \frac{1}{5}

Cross multiply

10 = 5 - x

Move

x

to the left side

10 + x = 5

Move

10

to the right side

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = - 5

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

\frac{x}{5} = \frac{2 x}{( x + 3 )}

\frac{1}{( x - 1 ) ^{2}} = 0

f^{- 1} (6) = 3

\frac{x ^{2} + 2 x - 8}{x ^{2} - x - 2} = 3