Solve z+1/3+z+2/2=3

$$\frac { z + 1 } { 3 } + \frac { z + 2 } { 2 } = 3$$

Solve for z

$$z=2$$

Steps for Solving Linear Equation

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

$$2\left(z+1\right)+3\left(z+2\right)=18$$

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

$$2z+2+3\left(z+2\right)=18$$

Use the distributive property to multiply 3 by z+2.

$$2z+2+3z+6=18$$

Combine 2z and 3z to get 5z.

$$5z+2+6=18$$

Add 2 and 6 to get 8.

$$5z+8=18$$

Subtract 8 from both sides.

$$5z=18-8$$

Subtract 8 from 18 to get 10.

$$5z=10$$

Divide both sides by 5.

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

Divide 10 by 5 to get 2.

$$z=2$$