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

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

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

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

x = 5, x = - 1

Solution steps

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

Multiply both sides by

x - 3

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

Solve

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

x = 5, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 5, x = - 1

x + \frac{11}{x} = - 12

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

\frac{6 x}{x - 1} + 2 = \frac{6}{x ^{2} - x}

\frac{x ^{2} - 3 x + 2}{2 - x} = 0

\frac{1}{3} - \frac{1}{x} = \frac{5}{6}

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