What is the answer to 1-7/(x-9)=(3x)/(x-9) ?

The answer to 1-7/(x-9)=(3x)/(x-9) is x=-8

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1-7/(x-9)=(3x)/(x-9)

1 - \frac{7}{x - 9} = \frac{3 x}{x - 9}

x = - 8

Solution steps

1 - \frac{7}{x - 9} = \frac{3 x}{x - 9}

Multiply both sides by

x - 9

x - 16 = 3 x

Move

16

to the right side

x = 3 x + 16

Move

3 x

to the left side

- 2 x = 16

Divide both sides by

- 2

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = - 8

\frac{x ^{2} - 1}{x ^{2} - 2 x + 1} = 0

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

\frac{3}{x} = 3

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

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

What is the answer to 1-7/(x-9)=(3x)/(x-9) ?
The answer to 1-7/(x-9)=(3x)/(x-9) is x=-8
Solve for x: 1-7/(x-9)=(3x)/(x-9)
The solution is x=-8