5(z-2)=3(z-2)+8

Solution for 5(z-2)=3(z-2)+8 equation:

5(z-2)=3(z-2)+8

We move all terms to the left:

5(z-2)-(3(z-2)+8)=0

We multiply parentheses

5z-(3(z-2)+8)-10=0


We calculate terms in parentheses: -(3(z-2)+8), so:

3(z-2)+8

We multiply parentheses

3z-6+8

We add all the numbers together, and all the variables

3z+2

Back to the equation:

-(3z+2)


We get rid of parentheses

5z-3z-2-10=0

We add all the numbers together, and all the variables

2z-12=0

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

2z=12

z=12/2

z=6