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

The answer to x+5/(x-5)= x/(x-5) is x=1

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

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

x = 1

Solution steps

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

Multiply both sides by

x - 5

x (x - 5) + 5 = x

Solve

x (x - 5) + 5 = x : x = 5, x = 1

x = 5, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

x = 1

(k + \frac{1}{k})^{2} = 16

x^{- a} = \frac{1}{x ^{a}}

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

2 (\frac{( n + 1 ) !}{n !}) = 40

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

What is the answer to x+5/(x-5)= x/(x-5) ?
The answer to x+5/(x-5)= x/(x-5) is x=1
Solve for x: x+5/(x-5)= x/(x-5)
The solution is x=1