What is the answer to x/((x-1))-2/((x+1))= 4/((x^2-1)) ?

The answer to x/((x-1))-2/((x+1))= 4/((x^2-1)) is x=2

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x/((x-1))-2/((x+1))= 4/((x^2-1))

\frac{x}{( x - 1 )} - \frac{2}{( x + 1 )} = \frac{4}{( x ^{2} - 1 )}

x = 2

Solution steps

\frac{x}{( x - 1 )} - \frac{2}{( x + 1 )} = \frac{4}{( x ^{2} - 1 )}

Multiply by LCM

x (x + 1) - 2 (x - 1) = 4

Solve

x (x + 1) - 2 (x - 1) = 4 : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Since the equation is undefined for:

- 1

x = 2

\frac{1}{2 w + 7} = 2 w - 2

\frac{3}{( x + 2 ) - 2} = \frac{11}{2}

\frac{( x + 1 )}{( 2 x + 3 )} = \frac{3}{8}

\frac{x + 1}{x} = \frac{10}{3}

\frac{2 x + 2}{x ^{2} + 2 x - 15} = \frac{1}{3}

What is the answer to x/((x-1))-2/((x+1))= 4/((x^2-1)) ?
The answer to x/((x-1))-2/((x+1))= 4/((x^2-1)) is x=2
Solve for x: x/((x-1))-2/((x+1))= 4/((x^2-1))
The solution is x=2