What is the answer to 1/(x+6)=2 ?

The answer to 1/(x+6)=2 is x=-11/2

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1/(x+6)=2

\frac{1}{x + 6} = 2

x = - \frac{11}{2}

Decimal Notation

x = - 5.5

Solution steps

\frac{1}{x + 6} = 2

Multiply both sides by

x + 6

1 = 2 (x + 6)

Switch sides

2 (x + 6) = 1

Divide both sides by

2

x + 6 = \frac{1}{2}

Move

6

to the right side

x = - \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - \frac{11}{2}

\frac{x}{x - 4} - \frac{1}{4 - x} = 2

\frac{x ^{2}}{x + 6} + \frac{x}{x ^{2} - 6} = 2

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

y, \frac{x}{y} + \frac{y}{x} = 3 y

\frac{2 - x}{x ^{2} - 4} + \frac{1}{x} = 0