What is the answer to -3-8/(x-6)=-7/(x-6) ?

The answer to -3-8/(x-6)=-7/(x-6) is x= 17/3

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-3-8/(x-6)=-7/(x-6)

- 3 - \frac{8}{x - 6} = - \frac{7}{x - 6}

x = \frac{17}{3}

Decimal Notation

x = 5.66666 \dots

Solution steps

- 3 - \frac{8}{x - 6} = - \frac{7}{x - 6}

Multiply both sides by

x - 6

- 3 (x - 6) - 8 = - 7

Move

8

to the right side

- 3 (x - 6) = 1

Divide both sides by

- 3

x - 6 = - \frac{1}{3}

Move

6

to the right side

x = \frac{17}{3}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{17}{3}

x, \frac{d y}{d x} = - \frac{y}{x}

y, x^{3} = \frac{2 x - y}{x + 3 y}

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

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

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

What is the answer to -3-8/(x-6)=-7/(x-6) ?
The answer to -3-8/(x-6)=-7/(x-6) is x= 17/3
Solve for x: -3-8/(x-6)=-7/(x-6)
The solution is x= 17/3