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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3\left(x-1\right)+2\left(x+1\right)=9$$

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

$$3x-3+2\left(x+1\right)=9$$

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

$$3x-3+2x+2=9$$

Combine 3x and 2x to get 5x.

$$5x-3+2=9$$

Add -3 and 2 to get -1.

$$5x-1=9$$

Add 1 to both sides.

$$5x=9+1$$

Add 9 and 1 to get 10.

$$5x=10$$

Divide both sides by 5.

$$x=\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$x=2$$