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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