Solve x/x-1-1=2/x

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by x\left(x-1\right), the least common multiple of x-1,x.

$$xx+x\left(x-1\right)\left(-1\right)=\left(x-1\right)\times 2$$

Multiply x and x to get x^{2}.

$$x^{2}+x\left(x-1\right)\left(-1\right)=\left(x-1\right)\times 2$$

Use the distributive property to multiply x by x-1.

$$x^{2}+\left(x^{2}-x\right)\left(-1\right)=\left(x-1\right)\times 2$$

Use the distributive property to multiply x^{2}-x by -1.

$$x^{2}-x^{2}+x=\left(x-1\right)\times 2$$

Combine x^{2} and -x^{2} to get 0.

$$x=\left(x-1\right)\times 2$$

Use the distributive property to multiply x-1 by 2.

$$x=2x-2$$

Subtract 2x from both sides.

$$x-2x=-2$$

Combine x and -2x to get -x.

$$-x=-2$$

Multiply both sides by -1.

$$x=2$$