What is the answer to 2/x+1/(2x)=7 ?

The answer to 2/x+1/(2x)=7 is x= 5/14

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2/x+1/(2x)=7

\frac{2}{x} + \frac{1}{2 x} = 7

x = \frac{5}{14}

Decimal Notation

x = 0.35714 \dots

Solution steps

\frac{2}{x} + \frac{1}{2 x} = 7

Multiply by LCM

5 = 14 x

Switch sides

14 x = 5

Divide both sides by

14

x = \frac{5}{14}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{14}

m, \frac{r + 5}{mn} = p

\frac{8}{x} = 4

4 = \frac{6}{x}

\frac{5}{y + 3} - 2 = \frac{5}{y + 3}

\frac{12 x ^{2} - 4}{4 x - 1} = 3 x