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

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

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

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

x = - 1

Solution steps

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

Multiply by LCM

4 - 3 x = 7

Move

4

to the right side

- 3 x = 3

Divide both sides by

- 3

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

6 = x^{3} - \frac{4}{x}

\frac{1}{x} + \frac{1}{x - 8} = \frac{1}{3}

- \frac{9}{x - 9} - 5 = \frac{7 x}{x - 9}

\frac{5 x + 8}{3 x + 4} = \frac{5 x + 2}{3 x - 4}

\frac{x}{x - 1} + \frac{3}{x} = \frac{5}{2 x}