What is the answer to -(7x)/(x-9)+6= 1/(x-9) ?

The answer to -(7x)/(x-9)+6= 1/(x-9) is x=-55

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-(7x)/(x-9)+6= 1/(x-9)

- \frac{7 x}{x - 9} + 6 = \frac{1}{x - 9}

x = - 55

Solution steps

- \frac{7 x}{x - 9} + 6 = \frac{1}{x - 9}

Multiply both sides by

x - 9

- 7 x + 6 (x - 9) = 1

Expand

6 (x - 9) : 6 x - 54

- 7 x + 6 x - 54 = 1

Add similar elements:

- 7 x + 6 x = - x

- x - 54 = 1

Move

54

to the right side

- x = 55

Divide both sides by

- 1

x = - 55

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = - 55

\frac{1}{x} + \frac{1}{x ^{2}} = \frac{3}{4}

\frac{x}{x + 1} + 2 = \frac{1}{x ^{2} + x}

\frac{9}{4 x} - \frac{5}{6} = - \frac{13}{12 x}

\frac{1}{x ^{2} - 5 x} = \frac{x + 7}{x} - 1

\frac{0.25}{3} = \frac{12}{x}

What is the answer to -(7x)/(x-9)+6= 1/(x-9) ?
The answer to -(7x)/(x-9)+6= 1/(x-9) is x=-55
Solve for x: -(7x)/(x-9)+6= 1/(x-9)
The solution is x=-55