What is the answer to 8/(2x)=4-2/x ?

The answer to 8/(2x)=4-2/x is x= 3/2

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8/(2x)=4-2/x

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Simplify

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

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

Multiply both sides by

x

4 = 4 x - 2

Switch sides

4 x - 2 = 4

Move

2

to the right side

4 x = 6

Divide both sides by

4

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{3}{x - 2} = \frac{5}{9 x - 2}

\frac{12}{x} + \frac{18}{x + 4} = 9

0.6 = \frac{x - 0.05 x - 34}{x}

\frac{x - 7}{x - 9} = \frac{3}{4}

\frac{1}{2 x + 5} = \frac{3}{x - 5}