What is the answer to 7/x-1/(3x)= 5/3 ?

The answer to 7/x-1/(3x)= 5/3 is x=4

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7/x-1/(3x)= 5/3

\frac{7}{x} - \frac{1}{3 x} = \frac{5}{3}

x = 4

Solution steps

\frac{7}{x} - \frac{1}{3 x} = \frac{5}{3}

Multiply by LCM

20 = 5 x

Switch sides

5 x = 20

Divide both sides by

5

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{4 x - 3}{x - 6} - \frac{x - 5}{x - 2} = 0

\frac{1}{x} + \frac{1}{x + 2} = \frac{12}{5}

\frac{x + 8}{2 x ^{2} - 18} - \frac{2}{x - 3} = 1

- 3 - \frac{8}{x - 6} = - \frac{7}{x - 6}

x, \frac{d y}{d x} = - \frac{y}{x}