What is the answer to 1/(x+3)-1/(x+4)= 1/6 ?

The answer to 1/(x+3)-1/(x+4)= 1/6 is x=-1,x=-6

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1/(x+3)-1/(x+4)= 1/6

\frac{1}{x + 3} - \frac{1}{x + 4} = \frac{1}{6}

x = - 1, x = - 6

Solution steps

\frac{1}{x + 3} - \frac{1}{x + 4} = \frac{1}{6}

Multiply by LCM

6 (x + 4) - 6 (x + 3) = (x + 3) (x + 4)

Solve

6 (x + 4) - 6 (x + 3) = (x + 3) (x + 4) : x = - 1, x = - 6

x = - 1, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 4

Combine undefined points with solutions:

x = - 1, x = - 6

\frac{1}{4 - 3 x} = \frac{5}{x}

\frac{4 x}{x - 3} = 2 + \frac{12}{x - 3}

\frac{3}{x ^{2} - 7 x + 10} + 2 = \frac{x - 4}{x - 5}

\frac{4}{x - 3} - \frac{5}{x - 2} = 0

\frac{- 3}{4 x + 3} = \frac{N}{4 x ^{2} - 13 x - 12}

What is the answer to 1/(x+3)-1/(x+4)= 1/6 ?
The answer to 1/(x+3)-1/(x+4)= 1/6 is x=-1,x=-6
Solve for x: 1/(x+3)-1/(x+4)= 1/6
The solution is x=-1,x=-6