(3z+13)/5=(5z+3)/6

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Solution for (3z+13)/5=(5z+3)/6 equation:



(3z+13)/5=(5z+3)/6
We move all terms to the left:
(3z+13)/5-((5z+3)/6)=0
We calculate fractions
3z/()+(-((5z+3)*5)/()=0
We calculate terms in parentheses: +(-((5z+3)*5)/(), so:
-((5z+3)*5)/(
We multiply all the terms by the denominator
-((5z+3)*5)
We calculate terms in parentheses: -((5z+3)*5), so:
(5z+3)*5
We multiply parentheses
25z+15
Back to the equation:
-(25z+15)
We get rid of parentheses
-25z-15
Back to the equation:
+(-25z-15)
We get rid of parentheses
3z/()-25z-15=0
We multiply all the terms by the denominator
3z-25z*()-15*()=0
We add all the numbers together, and all the variables
3z-25z*()=0

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