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

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

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

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

x = 2

Solution steps

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

Multiply by LCM

- x + 6 = 2 x

Move

6

to the right side

- x = 2 x - 6

Move

2 x

to the left side

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

a + 24 = \frac{144}{a}

2 a - 5 = \frac{4}{a}

\frac{x}{2 x - 6} = \frac{x + 8}{15}

\frac{12}{x} = \frac{x}{3}

n, \frac{P V}{n} = RT