What is the answer to (6x)/(x-9)-9= 3/(x-9) ?

The answer to (6x)/(x-9)-9= 3/(x-9) is x=26

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(6x)/(x-9)-9= 3/(x-9)

\frac{6 x}{x - 9} - 9 = \frac{3}{x - 9}

x = 26

Solution steps

\frac{6 x}{x - 9} - 9 = \frac{3}{x - 9}

Multiply both sides by

x - 9

6 x - 9 (x - 9) = 3

Expand

- 9 (x - 9) : - 9 x + 81

6 x - 9 x + 81 = 3

Add similar elements:

6 x - 9 x = - 3 x

- 3 x + 81 = 3

Move

81

to the right side

- 3 x = - 78

Divide both sides by

- 3

x = 26

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 26

\frac{4}{k} = \frac{8}{2}

\frac{9}{x} = \frac{2}{5}

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

6^{- 7} = \frac{1}{x}

\frac{5}{6} = \frac{1}{x - 2}

What is the answer to (6x)/(x-9)-9= 3/(x-9) ?
The answer to (6x)/(x-9)-9= 3/(x-9) is x=26
Solve for x: (6x)/(x-9)-9= 3/(x-9)
The solution is x=26