What is the answer to -6/7-1/(x+5)= 2/(x+5) ?

The answer to -6/7-1/(x+5)= 2/(x+5) is x=-17/2

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-6/7-1/(x+5)= 2/(x+5)

- \frac{6}{7} - \frac{1}{x + 5} = \frac{2}{x + 5}

x = - \frac{17}{2}

Decimal

x = - 8.5

Solution steps

- \frac{6}{7} - \frac{1}{x + 5} = \frac{2}{x + 5}

Multiply by LCM

- 6 (x + 5) - 7 = 14

Move

7

to the right side

- 6 (x + 5) = 21

Divide both sides by

- 6

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

Move

5

to the right side

x = - \frac{17}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{17}{2}

6 = \frac{3}{2 x}

\frac{1}{x + 5} + \frac{10}{x ^{2} - 25} = 1

7 - \frac{2}{x - 4} = x

\frac{5 a}{a + 2} = 0

\frac{x - 7}{x - 4} = \frac{x - 7}{x - 3} - 1

What is the answer to -6/7-1/(x+5)= 2/(x+5) ?
The answer to -6/7-1/(x+5)= 2/(x+5) is x=-17/2
Solve for x: -6/7-1/(x+5)= 2/(x+5)
The solution is x=-17/2