What is the answer to x-(x+3)/(x-5)=2x ?

The answer to x-(x+3)/(x-5)=2x is x=1,x=3

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x-(x+3)/(x-5)=2x

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

x = 1, x = 3

Solution steps

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

Multiply both sides by

x - 5

x (x - 5) - (x + 3) = 2 x (x - 5)

Solve

x (x - 5) - (x + 3) = 2 x (x - 5) : x = 1, x = 3

x = 1, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 1, x = 3

1 + \frac{2}{x - 4} = \frac{7}{x ^{2} - 16}

\frac{10}{y + 11} = \frac{25}{- 3 y}

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

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

y, \frac{2}{x} - \frac{1}{y} = 4

What is the answer to x-(x+3)/(x-5)=2x ?
The answer to x-(x+3)/(x-5)=2x is x=1,x=3
Solve for x: x-(x+3)/(x-5)=2x
The solution is x=1,x=3