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2(2x+4)=3(2x+3)
We move all terms to the left:
2(2x+4)-(3(2x+3))=0
We multiply parentheses
4x-(3(2x+3))+8=0
We calculate terms in parentheses: -(3(2x+3)), so:We get rid of parentheses
3(2x+3)
We multiply parentheses
6x+9
Back to the equation:
-(6x+9)
4x-6x-9+8=0
We add all the numbers together, and all the variables
-2x-1=0
We move all terms containing x to the left, all other terms to the right
-2x=1
x=1/-2
x=-1/2
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