What is the answer to 4/x+1/(2x)=7 ?

The answer to 4/x+1/(2x)=7 is x= 9/14

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

\frac{4}{x} + \frac{1}{2 x} = 7

x = \frac{9}{14}

Solution steps

\frac{4}{x} + \frac{1}{2 x} = 7

Multiply by LCM

9 = 14 x

Switch sides

14 x = 9

Divide both sides by

14

x = \frac{9}{14}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{14}

a = \frac{3}{x + 2}

r, L = \frac{E}{r + r}

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

\frac{6}{10} = \frac{21}{k}

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