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

The answer to 1/(x-1)-1/(x+3)= 1/3 is x=3,x=-5

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

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

x = 3, x = - 5

Solution steps

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

Multiply by LCM

3 (x + 3) - 3 (x - 1) = (x - 1) (x + 3)

Solve

3 (x + 3) - 3 (x - 1) = (x - 1) (x + 3) : x = 3, x = - 5

x = 3, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 3

Combine undefined points with solutions:

x = 3, x = - 5

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

\frac{15}{- 6 x} = - 4

1 - \frac{36}{x ^{2}} = 0

\frac{2 x + 3}{x - 1} - \frac{x + 2}{3 x - 4} = 0

\frac{x ^{3}}{3 x} = 12

What is the answer to 1/(x-1)-1/(x+3)= 1/3 ?
The answer to 1/(x-1)-1/(x+3)= 1/3 is x=3,x=-5
Solve for x: 1/(x-1)-1/(x+3)= 1/3
The solution is x=3,x=-5