What is the answer to 1/(x+4)=2 ?

The answer to 1/(x+4)=2 is x=-7/2

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1/(x+4)=2

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

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

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

Multiply both sides by

x + 4

1 = 2 (x + 4)

Switch sides

2 (x + 4) = 1

Divide both sides by

2

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

Move

4

to the right side

x = - \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{7}{2}

x - \frac{9}{x + 4} = \frac{4 x}{x + 4}

\frac{12}{x + 2} = \frac{9}{x + 5}

15 - \frac{12}{x} = - 33

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

x, \frac{y - 2 z}{x - z} = 0