What is the answer to 5= 2/5-8/c ?

The answer to 5= 2/5-8/c is c=-40/23

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5= 2/5-8/c

5 = \frac{2}{5} - \frac{8}{c}

c = - \frac{40}{23}

Decimal Notation

c = - 1.73913 \dots

Solution steps

5 = \frac{2}{5} - \frac{8}{c}

Multiply by LCM

25 c = 2 c - 40

Move

2 c

to the left side

23 c = - 40

Divide both sides by

23

c = - \frac{40}{23}

Verify Solutions

Find undefined (singularity) points:

c = 0

Combine undefined points with solutions:

c = - \frac{40}{23}

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

4 - 3 x = \frac{1}{x}

- \frac{3}{2 x + 1} = \frac{4}{3 x + 1}

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

\frac{2}{x} - \frac{9}{x - 4} + 2 = 0