What is the answer to x/(1-x)=2.5 ?

The answer to x/(1-x)=2.5 is x= 5/7

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x/(1-x)=2.5

\frac{x}{1 - x} = 2.5

x = \frac{5}{7}

Decimal Notation

x = 0.71428 \dots

Solution steps

\frac{x}{1 - x} = 2.5

Multiply both sides by

1 - x

x = 2.5 (1 - x)

Multiply both sides by

10

x \cdot 10 = 25 (1 - x)

Expand

25 (1 - x) : 25 - 25 x

x \cdot 10 = 25 - 25 x

Move

25 x

to the left side

35 x = 25

Divide both sides by

35

x = \frac{5}{7}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{5}{7}

\frac{b + 3}{b} = \frac{4}{7}

T, P = \frac{I}{T}

\frac{x - 5}{36 - x} = \frac{2}{3}

0.25 = \frac{5 - x}{x ^{2} + 9}

\frac{20}{x} = - 5