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

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

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

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

x = 1

Solution steps

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

Multiply both sides by

x - 2

x (x - 2) + 2 = x

Solve

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

x = 2, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

x = 1

\frac{11}{4} = \frac{5}{x}

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

\frac{3}{x ^{2}} - \frac{47}{x} = 16

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

\frac{8}{20} = \frac{10}{x}

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