What is the answer to 5/(x-5)=2+x/(x-5) ?

The answer to 5/(x-5)=2+x/(x-5) is No Solution

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5/(x-5)=2+x/(x-5)

\frac{5}{x - 5} = 2 + \frac{x}{x - 5}

No Solution

Solution steps

\frac{5}{x - 5} = 2 + \frac{x}{x - 5}

Multiply both sides by

x - 5

5 = 2 (x - 5) + x

Switch sides

2 (x - 5) + x = 5

Expand

2 (x - 5) + x : 3 x - 10

3 x - 10 = 5

Move

10

to the right side

3 x = 15

Divide both sides by

3

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

No Solution

1 + \frac{1}{x} = 0

- 15 x + 8 x - 36 = \frac{- 21}{3 + 5 x - 17}

\frac{2}{x} - \frac{3}{x + 1} = 2

0.52 = \frac{50}{( 50 + x )}

\frac{x}{5 x - 18} = \frac{3}{x}

What is the answer to 5/(x-5)=2+x/(x-5) ?
The answer to 5/(x-5)=2+x/(x-5) is No Solution
Solve for x: 5/(x-5)=2+x/(x-5)
The solution is No Solution