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

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

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2/x = 8/(5x)+2

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

x = \frac{1}{5}

Solution steps

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

Multiply by LCM

10 = 8 + 10 x

Switch sides

8 + 10 x = 10

Move

8

to the right side

10 x = 2

Divide both sides by

10

x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{5}

\frac{7}{x - 4} = \frac{5}{x + 2}

a = \frac{c d}{x}

\frac{3}{x - 5} = \frac{4}{x + 5}

\frac{2}{( x - 1 ) ^{3}} = 0

y = \frac{12}{1 - x}, x