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

The answer to 2-4/x = 1/3 is x= 12/5

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2-4/x = 1/3

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

x = \frac{12}{5}

Solution steps

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

Multiply by LCM

6 x - 12 = x

Move

12

to the right side

6 x = x + 12

Move

x

to the left side

5 x = 12

Divide both sides by

5

x = \frac{12}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{12}{5}

\frac{5}{3} = \frac{4}{x} - 1

\frac{2}{4} = \frac{8}{x}

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

g, 3 = \frac{4 m}{g} - Q

x, k = \frac{3 x + 2}{x - 1}