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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3\left(x+1\right)-18=2\left(x-1\right)-12$$

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

$$3x+3-18=2\left(x-1\right)-12$$

Subtract 18 from 3 to get -15.

$$3x-15=2\left(x-1\right)-12$$

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

$$3x-15=2x-2-12$$

Subtract 12 from -2 to get -14.

$$3x-15=2x-14$$

Subtract 2x from both sides.

$$3x-15-2x=-14$$

Combine 3x and -2x to get x.

$$x-15=-14$$

Add 15 to both sides.

$$x=-14+15$$

Add -14 and 15 to get 1.

$$x=1$$