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

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

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Solve for x 5/(x-5)=x/(x-5)-5/4

solve for

x, \frac{5}{( x - 5 )} = \frac{x}{( x - 5 )} - \frac{5}{4}

No Solution

Solution steps

\frac{5}{( x - 5 )} = \frac{x}{( x - 5 )} - \frac{5}{4}

Multiply by LCM

20 = 4 x - 5 (x - 5)

Switch sides

4 x - 5 (x - 5) = 20

Expand

- 5 (x - 5) : - 5 x + 25

4 x - 5 x + 25 = 20

Add similar elements:

4 x - 5 x = - x

- x + 25 = 20

Move

25

to the right side

- x = - 5

Divide both sides by

- 1

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

No Solution

x, 1 - 2 x = 9

x, 4^{x} = 17

(- 7) - (4)

x, ∣ x - 4 ∣ = 5

x, 3 x - 1 = 0

What is the answer to solvefor x, 5/((x-5))= x/((x-5))-5/4 ?
The answer to solvefor x, 5/((x-5))= x/((x-5))-5/4 is No Solution