2(4a-5)-8a=3(a-6)+2

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Solution for 2(4a-5)-8a=3(a-6)+2 equation:



2(4a-5)-8a=3(a-6)+2
We move all terms to the left:
2(4a-5)-8a-(3(a-6)+2)=0
We add all the numbers together, and all the variables
-8a+2(4a-5)-(3(a-6)+2)=0
We multiply parentheses
-8a+8a-(3(a-6)+2)-10=0
We calculate terms in parentheses: -(3(a-6)+2), so:
3(a-6)+2
We multiply parentheses
3a-18+2
We add all the numbers together, and all the variables
3a-16
Back to the equation:
-(3a-16)
We add all the numbers together, and all the variables
-(3a-16)-10=0
We get rid of parentheses
-3a+16-10=0
We add all the numbers together, and all the variables
-3a+6=0
We move all terms containing a to the left, all other terms to the right
-3a=-6
a=-6/-3
a=+2

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