What is the answer to 1/4 = 3/x-1/2 ?

The answer to 1/4 = 3/x-1/2 is x=4

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1/4 = 3/x-1/2

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

x = 4

Solution steps

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

Multiply by LCM

x = 12 - 2 x

Move

2 x

to the left side

3 x = 12

Divide both sides by

3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

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

\frac{1}{x} = \frac{3}{15}

\frac{8}{x} + 2 = \frac{x + 4}{x - 6}

\frac{x - 14}{x - 12} = \frac{7}{8}

\frac{2 x}{x - 3} = 1 - \frac{6}{x - 3}