3(5z+2)-z=2(z-3)

Solution for 3(5z+2)-z=2(z-3) equation:

3(5z+2)-z=2(z-3)

We move all terms to the left:

3(5z+2)-z-(2(z-3))=0

We add all the numbers together, and all the variables

-1z+3(5z+2)-(2(z-3))=0

We multiply parentheses

-1z+15z-(2(z-3))+6=0


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

2(z-3)

We multiply parentheses

2z-6

Back to the equation:

-(2z-6)


We add all the numbers together, and all the variables

14z-(2z-6)+6=0

We get rid of parentheses

14z-2z+6+6=0

We add all the numbers together, and all the variables

12z+12=0

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

12z=-12

z=-12/12

z=-1