What is the answer to 5/3-2/x = 8/x ?

The answer to 5/3-2/x = 8/x is x=6

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5/3-2/x = 8/x

\frac{5}{3} - \frac{2}{x} = \frac{8}{x}

x = 6

Solution steps

\frac{5}{3} - \frac{2}{x} = \frac{8}{x}

Multiply by LCM

5 x - 6 = 24

Move

6

to the right side

5 x = 30

Divide both sides by

5

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

\frac{5}{2 x + 1} = \frac{3}{x + 3}

1 - \frac{6}{x ^{2}} = 0

- z + z^{- 2} = 2

\frac{y - 1}{y - 3} = \frac{2}{y - 3}

x + \frac{10}{x} = - 7