What is the answer to 7/(2x)-5/(3x)= 22/3 ?

The answer to 7/(2x)-5/(3x)= 22/3 is x= 1/4

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7/(2x)-5/(3x)= 22/3

\frac{7}{2 x} - \frac{5}{3 x} = \frac{22}{3}

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

\frac{7}{2 x} - \frac{5}{3 x} = \frac{22}{3}

Multiply by LCM

11 = 44 x

Switch sides

44 x = 11

Divide both sides by

44

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

1 + \frac{4}{x - 6} = - \frac{x}{x - 6}

\frac{1}{2} + \frac{2}{x} = \frac{3}{4}

\frac{7}{x} - \frac{5}{4} = \frac{x}{8}

- \frac{1}{x ^{2}} = - \frac{1}{6}

2 - \frac{3}{x + 4} = \frac{x + 2}{x + 4}

What is the answer to 7/(2x)-5/(3x)= 22/3 ?
The answer to 7/(2x)-5/(3x)= 22/3 is x= 1/4
Solve for x: 7/(2x)-5/(3x)= 22/3
The solution is x= 1/4