What is the answer to x/(x-2)= 5/(x-2)-1/2 ?

The answer to x/(x-2)= 5/(x-2)-1/2 is x=4

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x/(x-2)= 5/(x-2)-1/2

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

x = 4

Solution steps

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

Multiply by LCM

2 x = - x + 12

Move

x

to the left side

3 x = 12

Divide both sides by

3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4

\frac{4}{3 x} + \frac{5}{4} = \frac{3}{x}

x^{- 2} - 2 x^{- 1} - 15 = 0

2 x - \frac{54}{x ^{2}} = 0

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

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

What is the answer to x/(x-2)= 5/(x-2)-1/2 ?
The answer to x/(x-2)= 5/(x-2)-1/2 is x=4
Solve for x: x/(x-2)= 5/(x-2)-1/2
The solution is x=4