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2(x+6)=6-3(x-5)
We move all terms to the left:
2(x+6)-(6-3(x-5))=0
We multiply parentheses
2x-(6-3(x-5))+12=0
We calculate terms in parentheses: -(6-3(x-5)), so:We get rid of parentheses
6-3(x-5)
determiningTheFunctionDomain -3(x-5)+6
We multiply parentheses
-3x+15+6
We add all the numbers together, and all the variables
-3x+21
Back to the equation:
-(-3x+21)
2x+3x-21+12=0
We add all the numbers together, and all the variables
5x-9=0
We move all terms containing x to the left, all other terms to the right
5x=9
x=9/5
x=1+4/5
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