What is the answer to 9/4-1/(2x)= 4/x ?

The answer to 9/4-1/(2x)= 4/x is x=2

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9/4-1/(2x)= 4/x

\frac{9}{4} - \frac{1}{2 x} = \frac{4}{x}

x = 2

Solution steps

\frac{9}{4} - \frac{1}{2 x} = \frac{4}{x}

Multiply by LCM

9 x - 2 = 16

Move

2

to the right side

9 x = 18

Divide both sides by

9

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

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

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

\frac{1}{6} + \frac{1}{y} = \frac{1}{3}

\frac{7 - 3 x}{5 - x} - \frac{2 x}{3 - x} = 8

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