What is the answer to 1/(x-9)-1= x/(x-9) ?

The answer to 1/(x-9)-1= x/(x-9) is x=5

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1/(x-9)-1= x/(x-9)

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

x = 5

Solution steps

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

Multiply both sides by

x - 9

1 - (x - 9) = x

Expand

1 - (x - 9) : - x + 10

- x + 10 = x

Move

10

to the right side

- x = x - 10

Move

x

to the left side

- 2 x = - 10

Divide both sides by

- 2

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 5

- \frac{3}{4} = \frac{9}{x}

\frac{2 π}{b} = π

\frac{1 - 4 x}{3 x - 2} = \frac{2}{3}

\frac{3 x + 3}{x - 3} = 7

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

What is the answer to 1/(x-9)-1= x/(x-9) ?
The answer to 1/(x-9)-1= x/(x-9) is x=5
Solve for x: 1/(x-9)-1= x/(x-9)
The solution is x=5