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

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

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

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

Combine x and -x to get 0.

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

Subtract 1 from -1 to get -2.

$$-2=2x-2$$

Swap sides so that all variable terms are on the left hand side.

$$2x-2=-2$$

Add 2 to both sides.

$$2x=-2+2$$

Add -2 and 2 to get 0.

$$2x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, x must be equal to 0.

$$x=0$$