What is the answer to x/(x-5)= 5/(x-5)+6 ?

The answer to x/(x-5)= 5/(x-5)+6 is No Solution

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x/(x-5)= 5/(x-5)+6

\frac{x}{x - 5} = \frac{5}{x - 5} + 6

No Solution

Solution steps

\frac{x}{x - 5} = \frac{5}{x - 5} + 6

Multiply both sides by

x - 5

x = 5 + 6 (x - 5)

Expand

5 + 6 (x - 5) : 6 x - 25

x = 6 x - 25

Move

6 x

to the left side

- 5 x = - 25

Divide both sides by

- 5

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

No Solution

\frac{2}{3} = \frac{9}{X}

(\frac{12}{x} + 1) (x - 3) = 9

\frac{7 x + 3}{7 x - 9} = \frac{9}{4}

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

1 - \frac{1}{( x - 1 ) ^{2}} = 0

What is the answer to x/(x-5)= 5/(x-5)+6 ?
The answer to x/(x-5)= 5/(x-5)+6 is No Solution
Solve for x: x/(x-5)= 5/(x-5)+6
The solution is No Solution