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

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



z+2(z+3)=5(2z-3)
We move all terms to the left:
z+2(z+3)-(5(2z-3))=0
We multiply parentheses
z+2z-(5(2z-3))+6=0
We calculate terms in parentheses: -(5(2z-3)), so:
5(2z-3)
We multiply parentheses
10z-15
Back to the equation:
-(10z-15)
We add all the numbers together, and all the variables
3z-(10z-15)+6=0
We get rid of parentheses
3z-10z+15+6=0
We add all the numbers together, and all the variables
-7z+21=0
We move all terms containing z to the left, all other terms to the right
-7z=-21
z=-21/-7
z=+3

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