Solve x-2/3-x-1/2=1/2

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

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

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

$$2x-4-3\left(x-1\right)=3$$

Use the distributive property to multiply -3 by x-1.

$$2x-4-3x+3=3$$

Combine 2x and -3x to get -x.

$$-x-4+3=3$$

Add -4 and 3 to get -1.

$$-x-1=3$$

Add 1 to both sides.

$$-x=3+1$$

Add 3 and 1 to get 4.

$$-x=4$$

Multiply both sides by -1.

$$x=-4$$