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

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

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3/x+1/2 = 4/x

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

x = 2

Solution steps

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

Multiply by LCM

6 + x = 8

Move

6

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

1 - \frac{3}{x ^{2}} = 0

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

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

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

\frac{3}{0.8 x} - \frac{5}{1.6 x} = 1.25