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

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

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

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

x = 3, x = - 5

Solution steps

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

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

\frac{2 x}{( 4 - 3 x )} = 2

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

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

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

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

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