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

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

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

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

To find the opposite of x-1, find the opposite of each term.

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

The opposite of -1 is 1.

$$2-x+1=x$$

Add 2 and 1 to get 3.

$$3-x=x$$

Subtract x from both sides.

$$3-x-x=0$$

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

$$3-2x=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$-2x=-3$$

Divide both sides by -2.

$$x=\frac{-3}{-2}$$

Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{2}$$