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

The answer to 2x+5/(x-5)= x/(x-5) is x= 1/2

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

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Multiply both sides by

x - 5

2 x (x - 5) + 5 = x

Solve

2 x (x - 5) + 5 = x : x = 5, x = \frac{1}{2}

x = 5, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

x = \frac{1}{2}

4 π x - \frac{4000}{x ^{2}} = 0

\frac{4 x + 1}{x + 1} = \frac{12}{x ^{2} - 1} + 3

14 - \frac{1}{x ^{2}} = 0

\frac{2 x + 1}{x + 5} = \frac{3 x - 1}{x + 7}

\frac{7}{x + 8} = - 1

What is the answer to 2x+5/(x-5)= x/(x-5) ?
The answer to 2x+5/(x-5)= x/(x-5) is x= 1/2
Solve for x: 2x+5/(x-5)= x/(x-5)
The solution is x= 1/2