What is the answer to -9/(x-9)-5=(7x)/(x-9) ?

The answer to -9/(x-9)-5=(7x)/(x-9) is x=3

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-9/(x-9)-5=(7x)/(x-9)

- \frac{9}{x - 9} - 5 = \frac{7 x}{x - 9}

x = 3

Solution steps

- \frac{9}{x - 9} - 5 = \frac{7 x}{x - 9}

Multiply both sides by

x - 9

- 9 - 5 (x - 9) = 7 x

Expand

- 9 - 5 (x - 9) : - 5 x + 36

- 5 x + 36 = 7 x

Move

36

to the right side

- 5 x = 7 x - 36

Move

7 x

to the left side

- 12 x = - 36

Divide both sides by

- 12

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 3

\frac{5 x + 8}{3 x + 4} = \frac{5 x + 2}{3 x - 4}

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

\frac{2 x}{2 x + 1} = \frac{5}{4 - x}

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

y, y^{- 4} = z

What is the answer to -9/(x-9)-5=(7x)/(x-9) ?
The answer to -9/(x-9)-5=(7x)/(x-9) is x=3
Solve for x: -9/(x-9)-5=(7x)/(x-9)
The solution is x=3