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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

6z-(5*(-5z+8))+9=0



We calculate terms in parentheses: -(5*(-5z+8)), so:

5*(-5z+8)

We multiply parentheses

-25z+40

Back to the equation:

-(-25z+40)



We get rid of parentheses

6z+25z-40+9=0

We add all the numbers together, and all the variables

31z-31=0

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

31z=31

z=31/31

z=1

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