4.5(z+1)=3(z+2)+11

Solution for 4.5(z+1)=3(z+2)+11 equation:

4.5(z+1)=3(z+2)+11

We move all terms to the left:

4.5(z+1)-(3(z+2)+11)=0

We multiply parentheses

4.5z-(3(z+2)+11)+4.5=0


We calculate terms in parentheses: -(3(z+2)+11), so:

3(z+2)+11

We multiply parentheses

3z+6+11

We add all the numbers together, and all the variables

3z+17

Back to the equation:

-(3z+17)


We get rid of parentheses

4.5z-3z-17+4.5=0

We add all the numbers together, and all the variables

1.5z-12.5=0

We move all terms containing z to the left, all other terms to the right

1.5z=12.5

z=12.5/1.5

z=8+0.5/1.5