What is the answer to 0.2= x/(1-x) ?

The answer to 0.2= x/(1-x) is x= 1/6

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0.2= x/(1-x)

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

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

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

Multiply both sides by

1 - x

0.2 (1 - x) = x

Multiply both sides by

10

2 (1 - x) = x \cdot 10

Expand

2 (1 - x) : 2 - 2 x

2 - 2 x = x \cdot 10

Move

2

to the right side

- 2 x = x \cdot 10 - 2

Move

x 10

to the left side

- 12 x = - 2

Divide both sides by

- 12

x = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{1}{6}

\frac{2 x}{5 x + 4} = \frac{10}{27}

A, X = A^{- 1} B

540 (3 n - 6) = \frac{1080}{3 n}

200 = \frac{300}{\frac{20}{x}}

\frac{2}{l} = \frac{5}{7}