2z-3(z+5)=2(z-7)-10

Solution for 2z-3(z+5)=2(z-7)-10 equation:

2z-3(z+5)=2(z-7)-10

We move all terms to the left:

2z-3(z+5)-(2(z-7)-10)=0

We multiply parentheses

2z-3z-(2(z-7)-10)-15=0


We calculate terms in parentheses: -(2(z-7)-10), so:

2(z-7)-10

We multiply parentheses

2z-14-10

We add all the numbers together, and all the variables

2z-24

Back to the equation:

-(2z-24)


We add all the numbers together, and all the variables

-1z-(2z-24)-15=0

We get rid of parentheses

-1z-2z+24-15=0

We add all the numbers together, and all the variables

-3z+9=0

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

-3z=-9

z=-9/-3

z=+3