What is the answer to x/(3x-9)-4= 1/(x-3) ?

The answer to x/(3x-9)-4= 1/(x-3) is No Solution

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x/(3x-9)-4= 1/(x-3)

\frac{x}{3 x - 9} - 4 = \frac{1}{x - 3}

No Solution

Solution steps

\frac{x}{3 x - 9} - 4 = \frac{1}{x - 3}

Multiply by LCM

x - 12 (x - 3) = 3

Expand

- 12 (x - 3) : - 12 x + 36

x - 12 x + 36 = 3

Add similar elements:

x - 12 x = - 11 x

- 11 x + 36 = 3

Move

36

to the right side

- 11 x = - 33

Divide both sides by

- 11

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 3

Since the equation is undefined for:

3

No Solution

\frac{- 45}{r} = 5

\frac{6 x}{3 x - 5} = \frac{2 x + 5}{x}

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

\frac{x ( 2 x - 1 )}{x + 2} = 12

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

What is the answer to x/(3x-9)-4= 1/(x-3) ?
The answer to x/(3x-9)-4= 1/(x-3) is No Solution
Solve for x: x/(3x-9)-4= 1/(x-3)
The solution is No Solution