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

The answer to (1+x)/(1-x)=2 is x= 1/3

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(1+x)/(1-x)=2

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Multiply both sides by

1 - x

1 + x = 2 (1 - x)

Expand

2 (1 - x) : 2 - 2 x

1 + x = 2 - 2 x

Move

1

to the right side

x = - 2 x + 1

Move

2 x

to the left side

3 x = 1

Divide both sides by

3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{1}{3}

5 - 2 x = \frac{4}{x}

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

\frac{3}{5 x + 1} = \frac{6}{10}

n, \frac{m + 3}{n} = p

\frac{5}{x} = \frac{4}{x + 3}