What is the answer to 1/(5x+2)=8 ?

The answer to 1/(5x+2)=8 is x=-3/8

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1/(5x+2)=8

\frac{1}{5 x + 2} = 8

x = - \frac{3}{8}

Decimal Notation

x = - 0.375

Solution steps

\frac{1}{5 x + 2} = 8

Multiply both sides by

5 x + 2

1 = 8 (5 x + 2)

Switch sides

8 (5 x + 2) = 1

Divide both sides by

8

5 x + 2 = \frac{1}{8}

Move

2

to the right side

5 x = - \frac{15}{8}

Divide both sides by

5

x = - \frac{3}{8}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{2}{5}

Combine undefined points with solutions:

x = - \frac{3}{8}

\frac{x + 5}{5} = \frac{6}{x - 2}

x, \frac{c}{x} = r + d

\frac{3}{10} + \frac{3}{2 x - 4} = 0

\frac{4 x - 8}{x} = 12

\frac{1}{2 x + 13} = 9