What is the answer to 2/5+1/x =4 ?

The answer to 2/5+1/x =4 is x= 5/18

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2/5+1/x =4

\frac{2}{5} + \frac{1}{x} = 4

x = \frac{5}{18}

Solution steps

\frac{2}{5} + \frac{1}{x} = 4

Multiply by LCM

2 x + 5 = 20 x

Move

5

to the right side

2 x = 20 x - 5

Move

20 x

to the left side

- 18 x = - 5

Divide both sides by

- 18

x = \frac{5}{18}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{18}

\frac{7}{x} = \frac{4}{9}

\frac{3}{x ^{5}} = 27

x, y - \frac{1}{x ^{2}} = 0

\frac{x + 4}{2} = \frac{6}{x}

\frac{4}{10.5} = \frac{8}{x}