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

The answer to 2/(x-2)= x/(x-2)-2 is No Solution

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2/(x-2)= x/(x-2)-2

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

No Solution

Solution steps

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

Multiply both sides by

x - 2

2 = x - 2 (x - 2)

Switch sides

x - 2 (x - 2) = 2

Expand

- 2 (x - 2) : - 2 x + 4

x - 2 x + 4 = 2

Add similar elements:

x - 2 x = - x

- x + 4 = 2

Move

4

to the right side

- x = - 2

Divide both sides by

- 1

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

No Solution

\frac{- 2}{9} = \frac{8}{- 3 x}

\frac{8}{b + 10} = \frac{4}{2 b - 7}

\frac{3}{2} = \frac{a - 3}{a + 1}

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

\frac{11}{n} = \frac{8}{5}

What is the answer to 2/(x-2)= x/(x-2)-2 ?
The answer to 2/(x-2)= x/(x-2)-2 is No Solution
Solve for x: 2/(x-2)= x/(x-2)-2
The solution is No Solution