What is the answer to 4/x-7/(3x)= 2/5 ?

The answer to 4/x-7/(3x)= 2/5 is x= 25/6

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4/x-7/(3x)= 2/5

\frac{4}{x} - \frac{7}{3 x} = \frac{2}{5}

x = \frac{25}{6}

Decimal Notation

x = 4.16666 \dots

Solution steps

\frac{4}{x} - \frac{7}{3 x} = \frac{2}{5}

Multiply by LCM

25 = 6 x

Switch sides

6 x = 25

Divide both sides by

6

x = \frac{25}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{25}{6}

\frac{1}{x} = 0

a, \frac{1}{a} + \frac{1}{b} = \frac{1}{c}

\frac{500 x}{500 + x} = 100

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

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

What is the answer to 4/x-7/(3x)= 2/5 ?
The answer to 4/x-7/(3x)= 2/5 is x= 25/6
Solve for x: 4/x-7/(3x)= 2/5
The solution is x= 25/6