What is the answer to x/(x-2)-3= 6/(x-2) ?

The answer to x/(x-2)-3= 6/(x-2) is x=0

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x/(x-2)-3= 6/(x-2)

\frac{x}{x - 2} - 3 = \frac{6}{x - 2}

x = 0

Solution steps

\frac{x}{x - 2} - 3 = \frac{6}{x - 2}

Multiply both sides by

x - 2

x - 3 (x - 2) = 6

Expand

- 3 (x - 2) : - 3 x + 6

x - 3 x + 6 = 6

Add similar elements:

x - 3 x = - 2 x

- 2 x + 6 = 6

Move

6

to the right side

- 2 x = 0

Divide both sides by

- 2

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0

\frac{1}{x - 3} = 0

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

y, \frac{x}{1 + y} - z = x

\frac{18}{x} = 3

\frac{1}{5 - x} = \frac{1}{8 x}

What is the answer to x/(x-2)-3= 6/(x-2) ?
The answer to x/(x-2)-3= 6/(x-2) is x=0
Solve for x: x/(x-2)-3= 6/(x-2)
The solution is x=0