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6(x-2)-(4x+6)=5(2x+6)
We move all terms to the left:
6(x-2)-(4x+6)-(5(2x+6))=0
We multiply parentheses
6x-(4x+6)-(5(2x+6))-12=0
We get rid of parentheses
6x-4x-(5(2x+6))-6-12=0
We calculate terms in parentheses: -(5(2x+6)), so:We add all the numbers together, and all the variables
5(2x+6)
We multiply parentheses
10x+30
Back to the equation:
-(10x+30)
2x-(10x+30)-18=0
We get rid of parentheses
2x-10x-30-18=0
We add all the numbers together, and all the variables
-8x-48=0
We move all terms containing x to the left, all other terms to the right
-8x=48
x=48/-8
x=-6
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