Solve (1)2/x-1-1=(2)+-1

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.

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

Multiply 1 and 2 to get 2.

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

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

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

Add 2 and 1 to get 3.

$$3-x=\left(x-1\right)\times 2+\left(x-1\right)\left(-1\right)$$

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

$$3-x=2x-2+\left(x-1\right)\left(-1\right)$$

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

$$3-x=2x-2-x+1$$

Combine 2x and -x to get x.

$$3-x=x-2+1$$

Add -2 and 1 to get -1.

$$3-x=x-1$$

Subtract x from both sides.

$$3-x-x=-1$$

Combine -x and -x to get -2x.

$$3-2x=-1$$

Subtract 3 from both sides.

$$-2x=-1-3$$

Subtract 3 from -1 to get -4.

$$-2x=-4$$

Divide both sides by -2.

$$x=\frac{-4}{-2}$$

Divide -4 by -2 to get 2.

$$x=2$$