Solve x-1/2x-1/2=2x-4/2x

$$\frac { x - 1 } { 2 x } - \frac { 1 } { 2 } = \frac { 2 x - 4 } { 2 x }$$

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 2x, the least common multiple of 2x,2.

$$x-1+2x\left(-\frac{1}{2}\right)=2x-4$$

Multiply 2 and -\frac{1}{2} to get -1.

$$x-1-x=2x-4$$

Combine x and -x to get 0.

$$-1=2x-4$$

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

$$2x-4=-1$$

Add 4 to both sides.

$$2x=-1+4$$

Add -1 and 4 to get 3.

$$2x=3$$

Divide both sides by 2.

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