2(3-5z)=3(z-7)

Solution for 2(3-5z)=3(z-7) equation:

2(3-5z)=3(z-7)

We move all terms to the left:

2(3-5z)-(3(z-7))=0

We add all the numbers together, and all the variables

2(-5z+3)-(3(z-7))=0

We multiply parentheses

-10z-(3(z-7))+6=0


We calculate terms in parentheses: -(3(z-7)), so:

3(z-7)

We multiply parentheses

3z-21

Back to the equation:

-(3z-21)


We get rid of parentheses

-10z-3z+21+6=0

We add all the numbers together, and all the variables

-13z+27=0

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

-13z=-27

z=-27/-13

z=2+1/13