(a+4)/21-(3a)/21=(a+7)/5

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Solution for (a+4)/21-(3a)/21=(a+7)/5 equation:



(a+4)/21-(3a)/21=(a+7)/5
We move all terms to the left:
(a+4)/21-(3a)/21-((a+7)/5)=0
We calculate fractions
(-15a^2+a+4)/()+(-((a+7)*21)/()=0
We calculate terms in parentheses: +(-((a+7)*21)/(), so:
-((a+7)*21)/(
We multiply all the terms by the denominator
-((a+7)*21)
We calculate terms in parentheses: -((a+7)*21), so:
(a+7)*21
We multiply parentheses
21a+147
Back to the equation:
-(21a+147)
We get rid of parentheses
-21a-147
Back to the equation:
+(-21a-147)
We get rid of parentheses
(-15a^2+a+4)/()-21a-147=0
We multiply all the terms by the denominator
(-15a^2+a+4)-21a*()-147*()=0
We add all the numbers together, and all the variables
(-15a^2+a+4)-21a*()=0
We get rid of parentheses
-15a^2+a-21a*()+4=0
We move all terms containing a to the left, all other terms to the right
-15a^2+a-21a*()=-4

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