What is the answer to -8/(x-4)+1=-x/(x-4) ?

The answer to -8/(x-4)+1=-x/(x-4) is x=6

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-8/(x-4)+1=-x/(x-4)

- \frac{8}{x - 4} + 1 = - \frac{x}{x - 4}

x = 6

Solution steps

- \frac{8}{x - 4} + 1 = - \frac{x}{x - 4}

Multiply both sides by

x - 4

x - 12 = - x

Move

12

to the right side

x = - x + 12

Move

x

to the left side

2 x = 12

Divide both sides by

2

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 6

\frac{1}{10} = \frac{1}{20} + \frac{1}{x}

\frac{1}{6} + \frac{1}{3 x} = \frac{3}{2 x}

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

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

x - \frac{3 x + 2}{x - 5} = \frac{7}{x - 5}

What is the answer to -8/(x-4)+1=-x/(x-4) ?
The answer to -8/(x-4)+1=-x/(x-4) is x=6
Solve for x: -8/(x-4)+1=-x/(x-4)
The solution is x=6