What is the answer to 5/(x+4)-8=0 ?

The answer to 5/(x+4)-8=0 is x=-27/8

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5/(x+4)-8=0

\frac{5}{x + 4} - 8 = 0

x = - \frac{27}{8}

Decimal Notation

x = - 3.375

Solution steps

\frac{5}{x + 4} - 8 = 0

Multiply both sides by

x + 4

5 - 8 (x + 4) = 0

Move

5

to the right side

- 8 (x + 4) = - 5

Divide both sides by

- 8

x + 4 = \frac{5}{8}

Move

4

to the right side

x = - \frac{27}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{27}{8}

0.25 = \frac{25}{x}

\frac{1}{x} = - x

\frac{16}{x} - 3 = 5

\frac{x - 1}{x + 1} = \frac{2}{3}

\frac{- 2}{x + 4} = \frac{4}{x + 3}