What is the answer to 1/(2x)-4/x = 5/2 ?

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

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1/(2x)-4/x = 5/2

\frac{1}{2 x} - \frac{4}{x} = \frac{5}{2}

x = - \frac{7}{5}

Decimal Notation

x = - 1.4

Solution steps

\frac{1}{2 x} - \frac{4}{x} = \frac{5}{2}

Multiply by LCM

- 7 = 5 x

Switch sides

5 x = - 7

Divide both sides by

5

x = - \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{7}{5}

\frac{6}{3 x} + \frac{5}{4} = \frac{3}{x}

3 x^{2} - 3 x^{- 4} = 0

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

\frac{4}{3 x} + \frac{7}{4} = 6 - \frac{5}{2 x}

x + \frac{4 x}{x - 3} = \frac{12}{x - 3}

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