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

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

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

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

No Solution

Solution steps

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

Multiply both sides by

x - 5

5 = 5 (x - 5) + x

Switch sides

5 (x - 5) + x = 5

Expand

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

6 x - 25 = 5

Move

25

to the right side

6 x = 30

Divide both sides by

6

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

No Solution

\frac{3}{7 m} = 6

\frac{12}{x} = 2

x, z = \frac{y}{2 x + 3 y}

400 x - \frac{10800}{x ^{2}} = 0

\frac{2}{x} + \frac{4}{x} = 3

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