5(a-2)+(a-3)=2(2a+1)-9

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Solution for 5(a-2)+(a-3)=2(2a+1)-9 equation:



5(a-2)+(a-3)=2(2a+1)-9
We move all terms to the left:
5(a-2)+(a-3)-(2(2a+1)-9)=0
We multiply parentheses
5a+(a-3)-(2(2a+1)-9)-10=0
We get rid of parentheses
5a+a-(2(2a+1)-9)-3-10=0
We calculate terms in parentheses: -(2(2a+1)-9), so:
2(2a+1)-9
We multiply parentheses
4a+2-9
We add all the numbers together, and all the variables
4a-7
Back to the equation:
-(4a-7)
We add all the numbers together, and all the variables
6a-(4a-7)-13=0
We get rid of parentheses
6a-4a+7-13=0
We add all the numbers together, and all the variables
2a-6=0
We move all terms containing a to the left, all other terms to the right
2a=6
a=6/2
a=3

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