What is the answer to x/(2x-4)-7= 1/(x-2) ?

The answer to x/(2x-4)-7= 1/(x-2) is No Solution

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x/(2x-4)-7= 1/(x-2)

\frac{x}{2 x - 4} - 7 = \frac{1}{x - 2}

No Solution

Solution steps

\frac{x}{2 x - 4} - 7 = \frac{1}{x - 2}

Multiply by LCM

x - 14 (x - 2) = 2

Expand

- 14 (x - 2) : - 14 x + 28

x - 14 x + 28 = 2

Add similar elements:

x - 14 x = - 13 x

- 13 x + 28 = 2

Move

28

to the right side

- 13 x = - 26

Divide both sides by

- 13

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

No Solution

5 x = \frac{5}{x}

9 + \frac{x}{x + 8} = - \frac{8}{x + 8}

\frac{4}{x} = \frac{9}{5}

(A + 20) (\frac{120}{A} - 1) = 120

\frac{15}{x} = 5

What is the answer to x/(2x-4)-7= 1/(x-2) ?
The answer to x/(2x-4)-7= 1/(x-2) is No Solution
Solve for x: x/(2x-4)-7= 1/(x-2)
The solution is No Solution