3/7=(a-2)/6

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Solution for 3/7=(a-2)/6 equation:



3/7=(a-2)/6
We move all terms to the left:
3/7-((a-2)/6)=0
We calculate fractions
(-((a-2)*7)/()+()/()=0
We calculate terms in parentheses: +(-((a-2)*7)/()+()/(), so:
-((a-2)*7)/()+()/(
We add all the numbers together, and all the variables
-((a-2)*7)/()+1
We multiply all the terms by the denominator
-((a-2)*7)+1*()
We calculate terms in parentheses: -((a-2)*7), so:
(a-2)*7
We multiply parentheses
7a-14
Back to the equation:
-(7a-14)
We add all the numbers together, and all the variables
-(7a-14)
We get rid of parentheses
-7a+14
Back to the equation:
+(-7a+14)
We get rid of parentheses
-7a+14=0
We move all terms containing a to the left, all other terms to the right
-7a=-14
a=-14/-7
a=+2

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