What is the answer to x/(1-x)=4 ?

The answer to x/(1-x)=4 is x= 4/5

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x/(1-x)=4

\frac{x}{1 - x} = 4

x = \frac{4}{5}

Decimal Notation

x = 0.8

Solution steps

\frac{x}{1 - x} = 4

Multiply both sides by

1 - x

x = 4 (1 - x)

Expand

4 (1 - x) : 4 - 4 x

x = 4 - 4 x

Move

4 x

to the left side

5 x = 4

Divide both sides by

5

x = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{4}{5}

x, y = \frac{7}{9 - x}

\frac{( 2 - r )}{( r )} = 1.25

\frac{7}{x - 9} = \frac{2}{x - 9}

\frac{14 x + 3}{7 x + 6} = \frac{1}{2}

\frac{32}{8} = \frac{4}{x}