What is the answer to 2/x = 4/(5x)+2 ?

The answer to 2/x = 4/(5x)+2 is x= 3/5

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2/x = 4/(5x)+2

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

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

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

Multiply by LCM

10 = 4 + 10 x

Switch sides

4 + 10 x = 10

Move

4

to the right side

10 x = 6

Divide both sides by

10

x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{5}

\frac{x ^{3}}{2 x ^{5}} = 2

x, \frac{y}{x} = z

0 = \frac{x + 3}{2 x ^{2} - 6}

\frac{( x + 5 ) ^{2} - 4}{x + 3} = 0

\frac{2}{x - 1} - \frac{3}{x + 3} = 0