What is the answer to 1/(x+4)-1/(x+5)= 1/12 ?

The answer to 1/(x+4)-1/(x+5)= 1/12 is x=-1,x=-8

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1/(x+4)-1/(x+5)= 1/12

\frac{1}{x + 4} - \frac{1}{x + 5} = \frac{1}{12}

x = - 1, x = - 8

Solution steps

\frac{1}{x + 4} - \frac{1}{x + 5} = \frac{1}{12}

Multiply by LCM

12 (x + 5) - 12 (x + 4) = (x + 4) (x + 5)

Solve

12 (x + 5) - 12 (x + 4) = (x + 4) (x + 5) : x = - 1, x = - 8

x = - 1, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = - 5

Combine undefined points with solutions:

x = - 1, x = - 8

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

6 x - \frac{4}{x} = 5

\frac{9 x + 10}{3 x - 8} = \frac{12 x - 8}{4 x - 5}

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

1 + \frac{2}{x - 3} = \frac{5}{x ^{2} - 9}

What is the answer to 1/(x+4)-1/(x+5)= 1/12 ?
The answer to 1/(x+4)-1/(x+5)= 1/12 is x=-1,x=-8
Solve for x: 1/(x+4)-1/(x+5)= 1/12
The solution is x=-1,x=-8