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

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

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1/(1+x)=2

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

x = - \frac{1}{2}

Solution steps

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

Multiply both sides by

1 + x

1 = 2 (1 + x)

Switch sides

2 (1 + x) = 1

Divide both sides by

2

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

Move

1

to the right side

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{1}{1 + x} = 0

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

\frac{4}{x} = \frac{29}{8 x + 3}

\frac{3}{4 x ^{2}} = 12

0.4 = \frac{0.2}{\frac{x - 2}{2}}