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

The answer to 2/(x-2)= x/(x-2)-4 is No Solution

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

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

No Solution

Solution steps

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

Multiply both sides by

x - 2

2 = x - 4 (x - 2)

Switch sides

x - 4 (x - 2) = 2

Expand

- 4 (x - 2) : - 4 x + 8

x - 4 x + 8 = 2

Add similar elements:

x - 4 x = - 3 x

- 3 x + 8 = 2

Move

8

to the right side

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

No Solution

6 = \frac{78}{w}

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

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

B, 2 = \frac{a}{2 B + q}

F, 3 N = \frac{g}{F} + m

What is the answer to 2/(x-2)= x/(x-2)-4 ?
The answer to 2/(x-2)= x/(x-2)-4 is No Solution
Solve for x: 2/(x-2)= x/(x-2)-4
The solution is No Solution