What is the answer to 1/(x-4)=(5-x)/(x-4)-5 ?

The answer to 1/(x-4)=(5-x)/(x-4)-5 is No Solution

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1/(x-4)=(5-x)/(x-4)-5

\frac{1}{x - 4} = \frac{5 - x}{x - 4} - 5

No Solution

Solution steps

\frac{1}{x - 4} = \frac{5 - x}{x - 4} - 5

Multiply both sides by

x - 4

1 = 5 - x - 5 (x - 4)

Switch sides

5 - x - 5 (x - 4) = 1

Move

5

to the right side

- x - 5 (x - 4) = - 4

Expand

- 5 (x - 4) : - 5 x + 20

- x - 5 x + 20 = - 4

Add similar elements:

- x - 5 x = - 6 x

- 6 x + 20 = - 4

Move

20

to the right side

- 6 x = - 24

Divide both sides by

- 6

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

No Solution

\frac{161040}{x} = 134200

- 2 x^{- 3} = 0

\frac{x ^{2} - 9}{3 - x} = 0

\frac{18}{x} = \frac{6}{10}

50 = \frac{a}{( 7.906 - h )} + k

What is the answer to 1/(x-4)=(5-x)/(x-4)-5 ?
The answer to 1/(x-4)=(5-x)/(x-4)-5 is No Solution
Solve for x: 1/(x-4)=(5-x)/(x-4)-5
The solution is No Solution