What is the answer to 3/x-1/2 =(12)/x ?

The answer to 3/x-1/2 =(12)/x is x=-18

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3/x-1/2 =(12)/x

\frac{3}{x} - \frac{1}{2} = \frac{12}{x}

x = - 18

Solution steps

\frac{3}{x} - \frac{1}{2} = \frac{12}{x}

Multiply by LCM

6 - x = 24

Move

6

to the right side

- x = 18

Divide both sides by

- 1

x = - 18

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 18

\frac{3}{x} - \frac{1}{3} = \frac{1}{6}

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

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

- \frac{4}{x ^{2}} + \frac{1}{2} = 0

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