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

The answer to 3-3/(x-9)= x/(x-9) is x=15

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

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

x = 15

Solution steps

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

Multiply both sides by

x - 9

3 (x - 9) - 3 = x

Expand

3 (x - 9) - 3 : 3 x - 30

3 x - 30 = x

Move

30

to the right side

3 x = x + 30

Move

x

to the left side

2 x = 30

Divide both sides by

2

x = 15

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 15

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

\frac{2}{3} - \frac{1}{5} = \frac{7}{3 x}

\frac{3}{y} + 2 = \frac{7}{2 y}

\frac{60}{409.75} = \frac{- 150}{X}

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

What is the answer to 3-3/(x-9)= x/(x-9) ?
The answer to 3-3/(x-9)= x/(x-9) is x=15
Solve for x: 3-3/(x-9)= x/(x-9)
The solution is x=15