3(2+a)=5(2-a)+6a

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Solution for 3(2+a)=5(2-a)+6a equation:



3(2+a)=5(2-a)+6a
We move all terms to the left:
3(2+a)-(5(2-a)+6a)=0
We add all the numbers together, and all the variables
3(a+2)-(5(-1a+2)+6a)=0
We multiply parentheses
3a-(5(-1a+2)+6a)+6=0
We calculate terms in parentheses: -(5(-1a+2)+6a), so:
5(-1a+2)+6a
We add all the numbers together, and all the variables
6a+5(-1a+2)
We multiply parentheses
6a-5a+10
We add all the numbers together, and all the variables
a+10
Back to the equation:
-(a+10)
We get rid of parentheses
3a-a-10+6=0
We add all the numbers together, and all the variables
2a-4=0
We move all terms containing a to the left, all other terms to the right
2a=4
a=4/2
a=2

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