What is the answer to 1/(x+3)=5 ?

The answer to 1/(x+3)=5 is x=-14/5

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1/(x+3)=5

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

x = - \frac{14}{5}

Decimal Notation

x = - 2.8

Solution steps

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

Multiply both sides by

x + 3

1 = 5 (x + 3)

Switch sides

5 (x + 3) = 1

Divide both sides by

5

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

Move

3

to the right side

x = - \frac{14}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{14}{5}

\frac{( 1.2 x + 3 )}{( 3.2 x + 6 )} = \frac{9}{8}

10 = \frac{2 m}{s ^{2}}

\frac{y ^{2} + 1}{y} = \frac{34}{15}

\frac{7 x - 3 + 32}{3 x - 1} = \frac{1}{3}

\frac{2}{3 ( x + \frac{1}{5} )} = \frac{3}{4} (x - \frac{6}{3})