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

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Solution for 3(8-z)=5(10-2z) equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

3(-1z+8)-(5(-2z+10))=0

We multiply parentheses

-3z-(5(-2z+10))+24=0



We calculate terms in parentheses: -(5(-2z+10)), so:

5(-2z+10)

We multiply parentheses

-10z+50

Back to the equation:

-(-10z+50)



We get rid of parentheses

-3z+10z-50+24=0

We add all the numbers together, and all the variables

7z-26=0

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

7z=26

z=26/7

z=3+5/7

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